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Problem

Differentiate the function. $ S(p) = \sqrt{p} - …

00:54

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Problem 16 Easy Difficulty

Differentiate the function.
$ h(t) = \sqrt[4]{t} - 4e^1 $


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00:27

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

Discussion

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JR

Jp R.

October 17, 2019

The question in the book is not e^1 ... It is e^t

Top Calculus 1 / AB Educators
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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 10
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Problem 14
Problem 15
Problem 16
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Problem 24
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Problem 28
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Problem 30
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Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
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Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
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Problem 73
Problem 74
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Problem 76
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Problem 86

Video Transcript

he has clear. So when you read here so we have a job. T is equal to t to the 1/4 power minus four times eats the tea. This can be rewritten s t to the 1/4 power. So when we derive this, it's in terms of tea were t to the 1/4 power dynasty over d T or eat the tea. And this becomes equal to 1/4 t to the negative three for its bonus for e to the T four e to the T is the same since the derivative of an exponential it's the same no matter how many times you take the derivative.

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Calculus: Early Transcendentals

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Related Topics

Derivatives

Differentiation

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Anna Marie Vagnozzi

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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

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Join Course
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