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Problem

Differentiate the function. $ F(r) = \frac{5}{r^…

00:41

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Problem 12 Easy Difficulty

Differentiate the function.
$ B(y) = cy^{-6} $

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Frank Lin

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Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

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Derivatives

Differentiation

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Top Calculus 1 / AB Educators

Grace He

Anna Marie Vagnozzi

Campbell University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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.

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Problem 16

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Problem 57

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Problem 80

Problem 81

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Problem 86

Video Transcript

it's clear. So when you read here so we'll be Why this sequel? To see why the negative six. When we differentiate this you got de over de y for sea winds and negative six. We're going to use the power rule. We got C times Negative Six. Why? To the negative six minus one. We got negative six. See why? To the negative seven.

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Calculus: Early Transcendentals

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Related Topics

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Top Calculus 1 / AB Educators

Grace He

Numerade Educator

Anna Marie Vagnozzi

Campbell University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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.

Join Course

Recommended Videos

01:16

Differentiate the function. $ B(y) = cy^{-6} $

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Differentiate the function. $B(y)=c y^{-6}$

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Differentiate the function. $$B(y)=c y^{-6}$$

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Differentiate. $$y=6^{x}$$

01:01

Differentiate (a) $y=6$ (b) $y=6 x$.

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Differentiate. $$y=6 x^{3}$$

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Find the derivative of the function. $$ y=t^{2}-6 $$

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Differentiate. $$y=4\left(x^{2}-6\right)^{-3}$$

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Differentiate implicitly to find $d y / d x$ $$\frac{x}{x^{2}+y^{2}}-y^{2}=6$$

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