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Second derivative Assume a curve is given by the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 88AE Chapter 10.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 88AE

Second derivative Assume a curve is given by the parametric equations x = g(t) and y = h(t), where g and h are twice differentiable. Use the Chain Rule to show that

.

Step-by-Step Solution:

Solution 88AE

Step 1:

In this problem we have to prove

Given : Assume a curve is given by the parametric equations x = g(t) and y = h(t), where g and h are twice differentiable.

By using chain rule, we get

Now

By using chain rule,

               

               

             

             

             

 

Hence proved.

.

Step 2 of 1

Chapter 10.1, Problem 88AE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: assume, Chain, curve, derivative, differentiable. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Second derivative Assume a curve is given by the parametric equations x = g(t) and y = h(t), where g and h are twice differentiable. Use the Chain Rule to show that .” is broken down into a number of easy to follow steps, and 33 words. Since the solution to 88AE from 10.1 chapter was answered, more than 279 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 88AE from chapter: 10.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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