   Chapter 11.3, Problem 49E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

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

In Exercises 29-56, calculate d y d x . You need not expand your answers. [HINT: See Example 1 and 2.] y = x + 1 x − 1

To determine

To calculate: The derivative of function y=x+1x1.

Explanation

Given Information:

The function is y=x+1x1.

Formula used:

Quotient rule of derivative of differentiable functions, f(x) and g(x) is,

ddx[f(x)g(x)]=f'(x)g(x)f(x)g'(x)[g(x)]2 where, g(x)0.

Derivative of function y=xn using power rule is dydx=nxn1.

Derivative of a constant is 0.

Sum and difference rule of derivative is ddx[f(x)±g(x)]=ddx[f(x)]±ddx[g(x)] where, f(x) and g(x) are any two differentiable functions.

Calculation:

Consider the function, y=x+1x1

Rewrite the function,

y=x12+1x121

Apply quotient rule of derivative,

dydx=ddx(x12+1)(x121)(x12+1)ddx(x121)(x121)2

Apply sum and difference rule of derivative,

dydx=[ddx(x12)+ddx(1)](x121)(x12+1)[ddx(x12)ddx(1)]

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Evaluate the indefinite integral. dx1x2sin1x

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate.

Mathematical Applications for the Management, Life, and Social Sciences

Find the 1000th derivative of f(x) = xex.

Single Variable Calculus: Early Transcendentals

y=4x2+1 defines y implicitly as a function of x.

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

The harmonic series is: 1 + 2 + 3 + 4 + …

Study Guide for Stewart's Multivariable Calculus, 8th

In Exercises 21-26, use the laws of logic to prove the propositions. [p(qq)(pq)]p(pq)

Finite Mathematics for the Managerial, Life, and Social Sciences 