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3-92.

While using the definition of a derivative, Lulu used the following limit. For what function was she determining the derivative? How can you tell? Without simplifying this expression, determine the limit. Homework Help ✎

$\lim\limits _ { h \rightarrow 0 } \large\frac { ( 6 ( x + h ) ^ { 2 } - 5 ( x + h ) + 3 ) - ( 6 x ^ { 2 } - 5 x + 3 ) } { h }$

Lulu used Hana's definition of the derivative;

$f'(x)=\lim\limits_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

Examine Lulu's limit: What if $f(x)$?

Once you determine $f(x)$, use the Power Rule to find $f^\prime(x)$, the derivate function.This derivative function is the value of Lulu's limit as $h \rightarrow 0$.