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Math
CalculusFinite Mathematics and Applied Calculus (MindTap Course List)7th Edition

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Chapter 11.4, Problem 42E
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Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

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Problem 1E
Problem 2E
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Problem 4E
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Problem 6E
Problem 7E
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Problem 11E
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Problem 13E
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Problem 15E
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Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
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Problem 31E
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Problem 38E
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Problem 40E
Problem 41E
Problem 42E
Problem 43E
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Problem 88E
Problem 89E
Problem 90E
Problem 91E
Problem 92E
Problem 93E
Problem 94E
Problem 95E
Problem 96E
Problem 97E
Problem 98E
Problem 99E
Problem 100E
Problem 101E
Problem 102E
Problem 103E
Problem 104E
Problem 105E
Problem 106E
Problem 107E
Problem 108E
Problem 109E
Problem 110E
BuyFindarrow_forward

Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1-50, calculate the derivate of the function. [HINT: See Example 1.]

f ( x ) = [ ( 3 x − 1 ) 2 + ( 1 − x ) 5 ] 2

To determine

To calculate: The derivative of the function f(x)=[(3x−1)2+(1−x)5]2.

Explanation

Given Information:

The provided function is f(x)=[(3xāˆ’1)2+(1āˆ’x)5]2.

Formula used:

Derivative of function f(x)=(u)n using chain rule is

fā€²(x)=ddx(u)n=nunāˆ’1dudx,

Where, u is the function of x.

Calculation:

Consider the function, f(x)=[(3xāˆ’1)2+(1āˆ’x)5]2

Let (3xāˆ’1)=u,(1āˆ’x)=v

So, f(x)=[u2āˆ’v5]2

Apply chain rule,

fā€²(x)=ddxf(x)=[u2+v5]2=2[u2+v5]ā‹…[2ududx+5vd

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For f(x) = ex x, f(x) = a) ex x b) ex 1 c) e1 x d) e1 1

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

The following problem is based on this theorem: A median of a triangle separates it into two triangles of equal...

Elementary Geometry for College Students

A library has five copies of a certain textbook on reserve of which two copies (1 and 2) are hardcover books an...

Introduction To Statistics And Data Analysis

In exercise 3336, compute the value of the expression if possible, given that A=[1212] B=[3142] C=[1112] (ABC)1

Finite Mathematics for the Managerial, Life, and Social Sciences

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