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MTH151 Exam 2 10/10/2024 1. (9 points) Let $f(x) = \frac{x}{x+2}$. Use the definition of the derivative as $f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$ to find $f'(x)$.

Name: mth151 exam 2 10102024 1 9 points let fx fracxx2 use the definition of the derivative as fx limh to 0 fracfxh fxh to find fx 27693
Uploaded: 2023-09-13T06:40:35-08:00
Duration: 4 min 11 s
Channel: Vincenzo Zaccaro
Description: mth151 exam 2 10102024 1 9 points let fx fracxx2 use the definition of the derivative as fx limh to 0 fracfxh fxh to find fx 27693

          MTH151
Exam 2
10/10/2024
1. (9 points) Let $f(x) = \frac{x}{x+2}$. Use the definition of the derivative as $f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$ to find $f'(x)$.

$mth151 exam 2 10102024 1 9 points let fx fracxx2 use the definition of the derivative as fx limh to 0 fracfxh fxh to find fx 27693$

Added by Richard G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

09/13/2023

Step 1

We need to find the derivative $f'(x)$ using the definition of the derivative: $$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$$ First, let's find $f(x+h)$: $$f(x+h) = \frac{x+h}{(x+h)+2} = \frac{x+h}{x+h+2}$$ Show more…

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MTH151 Exam 2 10/10/2024 1. (9 points) Let $f(x) = \frac{x}{x+2}$. Use the definition of the derivative as $f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$ to find $f'(x)$.