Problem

If $ g(x) = xf(x), $ where $ f(3) = 4 $ and $ f'(…

01:57

Problem 46 Easy Difficulty

If $ h(2) = 4 $ and $ h'(2) = - 3, $ find

$ \frac {d}{dx} \left( \frac {h(x)}{x} \right) \mid x = 2 $

Answer

$-5 / 2$

More Answers

00:58

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

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Watch More Solved Questions in Chapter 3

Problem 1

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Video Transcript

it's Claire's. So when you read here so if you're gonna use a closure, we have D over DX. Each of nuts over x X is equal to this is equal to the derivative of H times X minus H of X times one all over X Square for X is equal to two in their h, the derivative of two times two minus age of two times one all over two square, just equal to negative. Three times two minus four times one. We're just plugging in the values that we got, then we get negative £5.

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Top Calculus 1 / AB Educators

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham