Step $2$

Therefore, we have

y $=$

$3$w$27$w $+9$

w

$=3$w$327$w$12+9$w$12.$

Now, since the function is a sum of power functions, we can use the Power Rule to find its derivative. Recall that according to the Power Rule, the derivative of

wn$,$

where n is any real number, is

nwn $1.$

To use the Power Rule, we'll have to calculate the following.

$32$

$1=$

$$

$12$

$1=$

$$

$12$

$1=$

Applying the power rule, we have the following.

y$=$

w$12$

w$12+$

w$32$