Here is the **list of mathematics exercises on the main numerical functions**. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.

Exercise example N°1414 :

Calculate the following expression `sqrt(939)^2`.

functions square roots 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify the square root of an integer.

Exercise example N°1415 :

Find x such that `x^2`=9.

square roots solving equations equations functions 9th Grade equation_solver

The purpose of this corrected math exercise is to solve an equation of the form `x^2=a`.

Exercise example N°1416 :

Put under the same radical the following expression `sqrt(35)*sqrt(31)`.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a product of square roots.

Exercise example N°1417 :

Put under the same radical the following expression `sqrt(16)/sqrt(25)`.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a quotient of square roots.

Exercise example N°1418 :

Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.

square roots order, absolute value, inequations numbers and equations functions 9th Grade 10th Grade simplify_surd

The purpose of this corrected math exercise is to write a square root in a simplified form.

Exercise example N°1419 :

Write in the form `a*sqrt(b)`, the following expression `sqrt(140)/sqrt(20)`, where a and b represent two integers.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to write a quotient of square roots in a simplified form.

Exercise example N°1435 :

Let f be the application of R in R defined by f(x)=`2*(3*x+1)^2-6*(2*x+3)^2` :

Compute f(2).

integers and rational numbers Numbers functions 9th Grade array_values

The purpose of this corrected math exercise is to calculate the value of a function for a given number.

Exercise example N°1505 :

Specify if the function `f:x->7-3*x^2` is even, odd, neither even nor odd.

square and inverse functions functions 10th Grade is_odd_or_even_function

The purpose of this corrected exercise is to determine the parity of a function (specify whether the function is even or odd).

Exercise example N°1506 :

With the help of the graphical representation of the function shown below in an orthogonal reference, indicate if the function is even, odd, neither even nor odd.

square and inverse functions functions 10th Grade is_odd_or_even_function

The purpose of this corrected exercise is to determine graphically the parity of a function (specify whether the function is even or odd).

Exercise example N°1507 :

To which type of curve corresponds the following plot ?

square and inverse functions functions 10th Grade

The aim of this corrected exercise is to recognize from their graphical representations the square and inverse functions.

Exercise example N°1509 :

Convert to degrees `pi/3` radians.

sine and cosine functions functions 10th Grade

The goal of this math exercise is to convert angles expressed in degrees into radians.

Exercise example N°1510 :

The angles are expressed in radians. Give the exact value of the following expression `pi/3`

sine and cosine functions functions 10th Grade simplify_trig

The aim of this math exercise is to calculate expressions that contain sines, cosines and remarkable angles.

Exercise example N°1511 :

Calculate the absolute value of `C=8+9`.

order, absolute value, inequations functions Numbers 10th Grade abs

This corrected exercise consists simply in calculating the absolute value of a numerical expression.

Exercise example N°1512 :

Calculate the absolute value of `F=2/3-3/7`.

order, absolute value, inequations functions Numbers 10th Grade abs

This corrected exercise consists simply in calculating the absolute value of an algebraic expression composed of fractions.

Exercise example N°1513 :

Solve the following equation `|x-4|=2`.

order, absolute value, inequations equations functions 10th Grade equation_solver

The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example N°1514 :

Solve the following equation `|x+9/2|=9/4`.

order, absolute value, inequations equations functions 10th Grade equation_solver

The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example N°1604 :

Calculate the derivative number of the function f(x) = `2+2*x^2` at point a = -2

derivatives of functions functions 11th Grade derivative

The aim of this corrected maths exercise is to calculate the derivative number of a function.

Exercise example N°1605 :

Let f be the function defined by f(x)= `-x-2*x^2+x^3` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The purpose of this exercise is to determine through the methods of algebraic calculations the derivative of a polynomial function.

Exercise example N°1606 :

Let f be the function defined by f(x)= `2*sqrt(x)` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The purpose of this corrected math exercise is to calculate the derivative of a square root.

Exercise example N°1607 :

Let f be the function defined by f(x)= `1/(3*x^2)` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The purpose of this corrected math exercise is to calculate the derivative of a quotient.

Exercise example N°1608 :

Let f be the function defined by f(x)= `1/(4-2*x+x^2)` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The purpose of this corrected math exercise is to calculate the derivative of a quotient and a polynomial.

Exercise example N°1609 :

Let f be the function defined by f(x)= `-3-3*x+2*x^2+x^3-5*sqrt(x)` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The goal of this corrected math exercise is to calculate the derivative of a polynomial and a square root.

Exercise example N°1610 :

Let f be the function defined by f(x)= `sqrt(3*x)` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The purpose of this corrected math exercise is to calculate the derivative of a function composed of a square root and a polynomial.

Exercise example N°1611 :

Let f be the function defined by f(x)= `(4+2*x)/(1-4*x)` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The goal of this exercise on functions is to calculate the derivative of a quotient of polynomials.

Exercise example N°1612 :

Let f be the function defined by f(x)= `4*sqrt(x)*(1+2*x)` , calculate the derivative of f, `f'(x)`.

derivatives of functions functions 11th Grade derivative

The purpose of this exercise on functions is to calculate the derivative of the product of a square root and a polynomial.

Exercise example N°1613 :

- Let f be the function defined by f(x) = `5*x^2-2*x-4`.
- Calculate the derivative of the function f at the point of abscissa -2.
- Deduce an equation of the tangent to the curve representing the function f at the point of abscissa -2.

derivatives of functions functions 11th Grade equation_tangent_line

The purpose of this corrected math exercise is to calculate the derivative number of a function and derive the equation of a tangent to a curve.

Exercise example N°1709 :

Express ln(25) as a function of ln(5) .

neperian logarithm functions 12th Grade

The purpose of this corrected exercise is to simplify a neperian logarithm containing a power.

Exercise example N°1710 :

Express `ln(1/27)` as a function of ln(3)

neperian logarithm functions 12th Grade

The goal of this corrected exercise is to simplify a neperian logarithm containing a quotient.

Exercise example N°1711 :

Express `-3/8*ln(1/(27))` as a function of ln(3)

neperian logarithm functions 12th Grade

The goal of this corrected exercise is to simplify the product of a fraction and a neperian logarithm containing a quotient.

Exercise example N°1712 :

Express `-5/8*ln(sqrt(2))` as a function of ln(2)

neperian logarithm functions 12th Grade

The aim of this corrected exercise is to simplify the neperian logarithm of a square root.

Exercise example N°1713 :

Compute an antiderivative of the function `f(x)=7/(9+7*x)` on `RR^+` .

neperian logarithm antiderivatives functions 12th Grade antiderivative

The aim of this corrected exercise is to use the neperian logarithm to calculate one of the primitives of a rational fraction of the first degree.

Exercise example N°1714 :

Compute an antiderivative of the function `f(x)=(8*x)/(1+4*x^2)` on `RR^+` .

neperian logarithm antiderivatives functions 12th Grade antiderivative

The goal of this corrected exercise is to use the neperian logarithm for antiderivative calculation of a rational fraction of degree 2.

Exercise example N°1715 :

Calculate the derivative of the function `ln(x)^5`.

neperian logarithm derivatives of functions functions 12th Grade derivative

The goal of this corrected exercise is to use the neperian logarithm to calculate the derivative.

Exercise example N°1716 :

Calculate the derivative of the function `ln(9+9*x^2)`.

neperian logarithm derivatives of functions functions 12th Grade derivative

The goal of this corrected exercise is to use the neperian logarithm to calculate the derivative.

Exercise example N°1717 :

Simplify the following expression `e^ln(3)+e^ln(4)`.

exponential functions 12th Grade calculator

The goal of this corrected exercise is to use the properties of the exponential and the neperian logarithm to simplify an algebraic expression.

Exercise example N°1718 :

Simplify the following expression `e^ln(8)/e^ln(4)`.

exponential functions 12th Grade calculator

The goal of this corrected exercise is to use the properties of the exponential and the neperian logarithm to simplify an algebraic expression.

Exercise example N°1719 :

Simplify the following expression `e^(ln(8)*ln(4))`.

exponential functions 12th Grade

The goal of this corrected exercise is to use the properties of the exponential and the neperian logarithm to simplify an algebraic expression.

Exercise example N°1731 :

Calculate the derivative of the function `e^(3+5*x^2)`.

exponential derivatives of functions functions 12th Grade derivative

The aim of this corrected exercise is to use the exponential for the calculation of derivatives.

Exercise example N°1740 :

Let f be the function defined by f(x)= `3-2*x^2+x^3` ,compute an antiderivative of f, `F(x)`, with F(x)=0.

antiderivatives functions 12th Grade integral

The aim of this corrected exercise is to use integration methods to calculate one of the antiderivative of a polynomial function.

Exercise example N°14111 :

Put `8+sqrt(20)` in the form `a+b*sqrt(5)`, where a and b are two natural numbers.

square roots functions 9th Grade simplify_surd

The objective of this exercise is to write an expression composed of the sum of an integer and a square root.

Exercise example N°14112 :

Write C in the form `a*sqrt(b)` where a is a relative integer and b a natural number: C=`1*sqrt(8)-2*sqrt(18)-1*sqrt(32)-2*sqrt(2)`

square roots functions 9th Grade simplify_surd

The objective of this exercise is to simplify an expression composed of several square roots.