### Home > CALC > Chapter 3 > Lesson 3.2.2 > Problem 3-62

3-62.

Hanah wrote this derivative function:

Homework Help ✎ What is

*f*(*x*) ?What is

*f*′(*x*) ? (Note--Avoid the algebra by using the Power Rule.)Use your slope function to find

*f*′(0) and*f*′( l ).

Hanah's (symmetrical difference) definition of the derivative;

*f*(*x*) = *x*^{2} − 3

Find *f* '(*x*), which is also the value of the limit.

Power Rule

if *f*(*x*) = *x ^{n}*

then

*f*'(

*x*) =

*nx*

^{n − 1}*f*(*x*) = *x*^{2} − 3*f* '(*x*) = __________

Evaluate.