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

Recall that the definition of the derivative is:

lim h$0$

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

h

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

$$Now find a simplified expression for the expression

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

h

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

h

$($C$)$ So what is the derivative of f$($x$)=$ x$2?$

lim

$/$x $+$ h$)-$ f$($x$)$

h$0$

h

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