Question

Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). $f'(3) = \lim_{h \to 0} \left( \frac{f(3+h) - f(3)}{h} \right) = \lim_{h \to 0} \left( \boxed{} \right) = \boxed{}$

          Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box).
$f'(3) = \lim_{h \to 0} \left( \frac{f(3+h) - f(3)}{h} \right) = \lim_{h \to 0} \left( \boxed{} \right) = \boxed{}$

Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box).
f'(3) = limh → 0( (f(3+h) - f(3))/(h)) = limh → 0( ) =

Added by Miranda W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert David Nguyen

09/23/2022

Step 1

Step 1: Simplify the difference quotient The difference quotient is given by: f'(3) = lim(h->0) [f(3+h) - f(3)] / h Since f(3+h) = f(3) and f'(3) = 1, we can simplify the difference quotient as follows: f'(3) = lim(h->0) [f(3) - f(3)] / h Show more…

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Evaluate the limit by using algebra to simplify the difference quotient in first answer box and then evaluating the limit (in the second answer box). f(3+h)=f(3) f'(3)=1im h 1im