Question

find u'(4) for$u(x) = h( \sqrt{x} )$use the table in the picture to solve the equation.

Answer 1

The equation given:

$u(x)=h(\sqrt[]{x})$

We need to find u'(4).

This means you put in "4" into the function and see:

So, it becomes:

$\begin{gathered} u(4)=h(\sqrt[]{4}) \\ u(4)=h(2) \end{gathered}$

Now, we want u'(4), so we need h'(2).

Looking into row and column of table, we find

h'(x) and "2" ------------>> we get "2".

Hence,

$u^{\prime}(4)=2$