Suppose that the function

$$

$($

$$

$)$

F$()$ is known to have the derivative

$$

$$

$($

$$

$)$

$=$

$$

$$

$1$

F

$$

$($y$)=$y

$1$

$.$ Find the de$-$

rivatives of the following functions and express you final answer in terms of the variable

$$

x$.$

$($a$)$

$$

$($

$$

$)$

$=$

def

$$

$($

$$

$2$

$)$

f$($x$)=$

def

F$($x

$2$

$).$

$($b$)$

$$

$($

$$

$)$

$=$

def

$$

$($

$$

$$

$1$

$)$

f$($x$)=$

def

F$($x

$1$

$).$

$$

$$

$($

$$

$)$

$=$

def

$$

$($

$2$

$3$

$$

$)$

f$($x$)=$

def

F$($

$3$

x

$$

$2$

$$

$).$