!! used as default html header if there is none in the selected theme. OEF derivada

OEF derivada --- Introducció ---

En aquest mòdul hi ha 6 exercicis sobre derivació.

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
  • The most recent version