   Chapter 9.8, Problem 17E Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 13-24, find the indicated derivative.Find d 4 y d x 4  if  y = 4 x 3 − 16 x .

To determine

To calculate: The value of d4ydx4 for the function, y=4x316x.

Explanation

Given Information:

The provided function is y=4x316x.

Formula used:

According to the power rule, if f(x)=xn, then,

f(x)=nxn1

According to the property of differentiation, if a function is of the form, g(x)=cf(x), then,

g(x)=cf(x)

According to the property of differentiation, if a function is of the form f(x)=u(x)+v(x), then,

f(x)=u(x)+v(x)

The derivative of a constant value, k, is

ddx(k)=0

Calculation:

Consider the provided function,

y=4x316x

In order to get dydx differentiate both sides with respect to x,

dydx=ddx(4x316x)=ddx(4x3)ddx(16x)=4ddx(x3)16ddx(x)

Apply the power rule of derivatives,

dydx=4(3x31)16(x11)=12x216

To find the value of d2ydx2, differentiate both

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

Solve the equations in Exercises 126. 2x3x2x3x+1=0

Finite Mathematics and Applied Calculus (MindTap Course List)

Given: AD bisects BC ABBCDCBC Prove: AEDE

Elementary Geometry for College Students

Polar coordinates of the point with rectangular coordinates (5, 5) are: (25, 0)

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