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.

41 exercises
• N°1414 (functions) : The purpose of this corrected math exercise is to simplify the square root of an integer.

Exercise example :

Calculate the following expression sqrt(939)^2.

• N°1415 (functions) : The purpose of this corrected math exercise is to solve an equation of the form x^2=a.

Exercise example :

Find x such that x^2=9.

• N°1416 (functions) : The purpose of this corrected math exercise is to simplify a product of square roots.

Exercise example :

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

• N°1417 (functions) : The purpose of this corrected math exercise is to simplify a quotient of square roots.

Exercise example :

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

• N°1418 (functions) : The purpose of this corrected math exercise is to write a square root in a simplified form.

Exercise example :

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

1418 simplify_surd
• N°1419 (functions) : The purpose of this corrected math exercise is to write a quotient of square roots in a simplified form.

Exercise example :

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

• N°1435 (functions) : The purpose of this corrected math exercise is to calculate the value of a function for a given number.

Exercise example :

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).

• N°1505 (functions) : The purpose of this corrected exercise is to determine the parity of a function (specify whether the function is even or odd).

Exercise example :

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

• N°1506 (functions) : 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 :

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.

• N°1507 (functions) : The aim of this corrected exercise is to recognize from their graphical representations the square and inverse functions.

Exercise example :

To which type of curve corresponds the following plot ?

• N°1509 (functions) : The goal of this math exercise is to convert angles expressed in degrees into radians.

Exercise example :

Convert to degrees pi/3 radians.

• N°1510 (functions) : The aim of this math exercise is to calculate expressions that contain sines, cosines and remarkable angles.

Exercise example :

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

• N°1511 (functions) : This corrected exercise consists simply in calculating the absolute value of a numerical expression.

Exercise example :

Calculate the absolute value of C=8+9.

• N°1512 (functions) : This corrected exercise consists simply in calculating the absolute value of an algebraic expression composed of fractions.

Exercise example :

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

• N°1513 (functions) : The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example :

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

• N°1514 (functions) : The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example :

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

• N°1604 (functions) : The aim of this corrected maths exercise is to calculate the derivative number of a function.

Exercise example :

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

• N°1605 (functions) : The purpose of this exercise is to determine through the methods of algebraic calculations the derivative of a polynomial function.

Exercise example :

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

• N°1606 (functions) : The purpose of this corrected math exercise is to calculate the derivative of a square root.

Exercise example :

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

• N°1607 (functions) : The purpose of this corrected math exercise is to calculate the derivative of a quotient.

Exercise example :

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

• N°1608 (functions) : The purpose of this corrected math exercise is to calculate the derivative of a quotient and a polynomial.

Exercise example :

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

• N°1609 (functions) : The goal of this corrected math exercise is to calculate the derivative of a polynomial and a square root.

Exercise example :

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).

• N°1610 (functions) : 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 :

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

• N°1611 (functions) : The goal of this exercise on functions is to calculate the derivative of a quotient of polynomials.

Exercise example :

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

• N°1612 (functions) : The purpose of this exercise on functions is to calculate the derivative of the product of a square root and a polynomial.

Exercise example :

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

• N°1613 (functions) : 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 :

Let f be the function defined by f(x) = 5*x^2-2*x-4.
1. Calculate the derivative of the function f at the point of abscissa -2.
2. Deduce an equation of the tangent to the curve representing the function f at the point of abscissa -2.
• N°1709 (functions) : The purpose of this corrected exercise is to simplify a neperian logarithm containing a power.

Exercise example :

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

• N°1710 (functions) : The goal of this corrected exercise is to simplify a neperian logarithm containing a quotient.

Exercise example :

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

• N°1711 (functions) : The goal of this corrected exercise is to simplify the product of a fraction and a neperian logarithm containing a quotient.

Exercise example :

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

• N°1712 (functions) : The aim of this corrected exercise is to simplify the neperian logarithm of a square root.

Exercise example :

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

• N°1713 (functions) : The goal of this corrected exercise is to use the neperian logarithm for antiderivative calculation.

Exercise example :

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

• N°1714 (functions) : The goal of this corrected exercise is to use the neperian logarithm for antiderivative calculation.

Exercise example :

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

• N°1715 (functions) : The goal of this corrected exercise is to use the neperian logarithm to calculate the derivative.

Exercise example :

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

• N°1716 (functions) : The goal of this corrected exercise is to use the neperian logarithm to calculate the derivative.

Exercise example :

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

• N°1717 (functions) : 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 :

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

• N°1718 (functions) : 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 :

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

• N°1719 (functions) : 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 :

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

• N°1731 (functions) : The aim of this corrected exercise is to use the exponential for the calculation of derivatives.

Exercise example :

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

• N°1740 (functions) : The goal of this corrected exercise is to calculate a function primitive.

Exercise example :

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.

• N°14111 (functions) : The objective of this exercise is to write an expression composed of the sum of an integer and a square root.

Exercise example :

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

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)