Consider the function: f$($x$)=$x$3$

Recall that the definition of the derivative is:

limh$0$f$($x$+$h$)-$f$($x$)$h

$($A$)$ In terms of x and h only, find a simplified expression for only the numerator of this expression, f$($x$+$h$)-$f$($x$)$:

f$($x$+$h$)-$f$($x$)=3$xh$+$h$3$Incorrect $$

$($B$)$ Now find a simplified expression for the expression f$($x$+$h$)-$f$($x$)$h:

f$($x$+$h$)-$f$($x$)$h$=3$x$+$h$2$Incorrect $$

$($C$)$ So what is the derivative of f$($x$)=?$

limh$0$f$($x$+$h$)-$f$($x$)$h$=3$xIncorrect