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

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

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00:58

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Missouri State University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

02:20

If $h ( 2 ) = 4$ and $h ^ …

02:21

If h(2) = 3 and h'(2)…

01:15

If $h(x)=-2 x^{2}-x+4,$ fi…

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.

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