Question

Find and simplify the difference quotient frac{f(x + h) - f(x)}{h}, h eq 0 for the given function. f(x) = 3x^2 frac{f(x + h) - f(x)}{h} = oxed{} (Simplify your answer.) Now, Find take the limit lim_{h o 0} frac{f(x + h) - f(x)}{h} = oxed{} (Simplify your answer.)

          Find and simplify the difference quotient frac{f(x + h) - f(x)}{h}, h 
eq 0 for the given function.
f(x) = 3x^2
frac{f(x + h) - f(x)}{h} = oxed{}
(Simplify your answer.)
Now, Find take the limit
lim_{h 	o 0} frac{f(x + h) - f(x)}{h} = oxed{}
(Simplify your answer.)

$Find and simplify the difference quotient fracf(x + h) - f(x)h, h eq 0 for the given function. f(x) = 3x^2 fracf(x + h) - f(x)h = oxed (Simplify your answer.) Now, Find take the limit limh o 0 fracf(x + h) - f(x)h = oxed (Simplify your answer.)$

Added by Leslie M.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Steven Clarke

04/02/2022

Step 1

Step 1:** Replace $f(x)$ with $3x$ in the expression $f(x+h)$ to get: \[f(x+h) = 3(x+h) = 3x + 3h\] ** Show more…

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Find and simplify the difference quotient f(x + h) - f(x) / h, h ≠ 0 for the given function: f(x) = 3x^2 f(x + h) - f(x) / h = (Simplify your answer.) Now, Find take the limit lim h->0 f(x + h) - f(x) / h = (Simplify your answer.)