Here is the list of mathematical exercises on derivatives of functions available online for free. Each corrected exercise is accompanied by indications, reminders of course, methodological advice which allows to practice independently.

13 exercisesExercise 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°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°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.