CPM Homework Help : CALC Problem 3-62

Hanah wrote this derivative function: Homework Help ✎
1. What is f(x) ?
2. What is f ′(x) ? (Note--Avoid the algebra by using the Power Rule.)
3. Use your slope function to find f ′(0) and f ′( l ).

Hint (a):

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

$f'(x)=\lim_{h\rightarrow 0}\frac{f(x+h)-f(x-h)}{2h}$

Hint (a):

f(x) = x² − 3

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

Hint (b):

Power Rule
if f(x) = xⁿ
then f '(x) = nx^{n − 1}

f(x) = x² − 3
f '(x) = __________

Hint (c):

Evaluate.