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Problem

Differentiate the function. $ g(t) = 2t^{-3/4} $

01:04

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Problem 10 Easy Difficulty

Differentiate the function.
$ H(u) = (3u - 1)(u + 2) $

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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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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 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

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Video Transcript

he has clears the when you read here. So we're gonna start with foil and we, uh, three. You square plus five year minus two. And after we derive this, we're going to use this sum indifference role to get D over. Deal three square plus de over. D'oh. Five u minus D over do you two. We know that the constant function, it goes to zero and we use our power role to get three times to you to the two minus one. Power plus five you to the one minus one Power. This is equal to six year plus five.

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James Stewart

Calculus: Early Transcendentals

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Derivatives

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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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