Question

Use the table to the right to find the given derivative. x 1 2 3 4 5 f(x) 1 2 5 3 4 f'(x) 3 5 2 4 1 d/dx [ f(x) / (x + 1) ] |_{x=3} d/dx [ f(x) / (x + 1) ] |_{x=3} = (Simplify your answer.)

          Use the table to the right to find the given derivative.
x 1 2 3 4 5
f(x) 1 2 5 3 4
f'(x) 3 5 2 4 1
d/dx [ f(x) / (x + 1) ] |_{x=3}
d/dx [ f(x) / (x + 1) ] |_{x=3} = (Simplify your answer.)

Added by Christine D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

10/14/2022

Step 1

Step 1: Compute the derivative of f(x) over x+1 using the quotient rule: \[ \frac{d}{dx} \left( \frac{f(x)}{x+1} \right) = \frac{(x+1)f'(x) - f(x)}{(x+1)^2} \] Show more…

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Use the table to the right to find the given derivative. d/dx [ f(x) / (x + 1) ] |_{x=3} x 1 2 3 4 5 f(x) 1 2 5 3 4 f'(x) 3 5 2 4 1 d/dx [ f(x) / (x + 1) ] |_{x=3} = (Simplify your answer.)