Corrected exercises on derivatives of functions

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 derivatives of functions | functions 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 derivatives of functions | functions 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 derivatives of functions | functions 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 derivatives of functions | functions 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 derivatives of functions | functions 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 derivatives of functions | functions 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 derivatives of functions | functions 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 derivatives of functions | functions 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 derivatives of functions | functions 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 :
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 neperian logarithm | derivatives of functions | functions 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 neperian logarithm | derivatives of functions | functions 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 exponential | derivatives of functions | functions 12th Grade derivative

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

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Exercises on derivatives of functions