The derivative of a combined function

Given the function :
Determine the derivative in $val20

=

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


The derivative of a polynomial

Let be a polynomial , gedefined in $m_RR by .

Let be differentiable in $m_RR. Determine the derivative.

For all real ,   =

The product rule

Determine the derivative of a function in $m_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 $m_RR by   .

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