OEF derivative --- Introduction ---

In this module there are 6 exercices on differentiation .

The derivative of a combined function

Given the function :
Determine the derivative in

=

NB : write "sqrt(ax+b)" for


The derivative of a polynomial

Let be a polynomial , gedefined in RR by .

Let be differentiable in RR. Determine the derivative.

For all real ,   =

The product rule

Determine the derivative of a function in RR defined by with :

The functions and are differentiable in and :
=
=

In order to determine the derivative of   we apply the following rule of differentiation:

The derivative function of   will be :

=


The quotient rule

Given the function defined in RR by   .

We will now determine the derivative of    in a few steps :

  • The extremum of reaches in a with value

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