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Problem

Differentiate the function. $ S(R) = 4\pi R^2 $

00:46

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Problem 19 Easy Difficulty

Differentiate the function.
$ y = 3e^x + \frac{4}{\sqrt[3]{x}} $

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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

Related Topics

Derivatives

Differentiation

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Top Calculus 1 / AB Educators

Catherine Ross

Missouri State University

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Harvey Mudd College

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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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Watch More Solved Questions in Chapter 3

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Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

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Problem 19

Problem 20

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Problem 40

Problem 41

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Problem 46

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Problem 49

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Problem 59

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Problem 62

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Video Transcript

he It's clear. So when you right here. So we're gonna start with different shooting the function in terms of X. So we have three feet X plus four over X to the one negative 1/3 power. Oh, this becomes equal to D over d x three each the X plus de over DX four bucks to the negative 1/3 power. We're gonna apply the power rule to get 38 x close negative 1/3 terms for X to the negative 4/3. This becomes equal to three feet X minus 4/3 x to the negative 4/3.

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James Stewart

Calculus: Early Transcendentals

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Related Topics

Derivatives

Differentiation

Top Calculus 1 / AB Educators

Catherine Ross

Missouri State University

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

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

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Differentiate the function. $ y = 3e^x + \frac{4}{\sqrt[3]{x}} $

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