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 exercises
• N°1604 (derivatives of 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

1604 11th Grade derivative
• N°1605 (derivatives of 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).

1605 11th Grade derivative
• N°1606 (derivatives of 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).

1606 11th Grade derivative
• N°1607 (derivatives of 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).

1607 11th Grade derivative
• N°1608 (derivatives of 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).

1608 11th Grade derivative
• N°1609 (derivatives of 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).

1609 11th Grade derivative
• N°1610 (derivatives of 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).

1610 11th Grade derivative
• N°1611 (derivatives of 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).

1611 11th Grade derivative
• N°1612 (derivatives of 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).

1612 11th Grade derivative
• N°1613 (derivatives of 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°1715 (derivatives of 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.

1715 12th Grade derivative
• N°1716 (derivatives of 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).

1716 12th Grade derivative
• N°1731 (derivatives of 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).

1731 12th Grade derivative

The derivatives of functions topic is available for : 11th Grade, 12th Grade

List of exercises by class : middle and high schools, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade.