BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.1, Problem 19E
To determine

To find:

The differentiation of the given function

Expert Solution

Answer to Problem 19E

Differentiating the function is dydx=x(2x+4)(x2+4x+3)x122x

Explanation of Solution

Given:

The function is

  f(x)=x2+4x+3x

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

  f(x)=x2+4x+3x...................(1)

The derivative of a function

  y=f(x)y=f(x)=dydx

Differentiating the equation (1) with respect to x

  dydx=ddx(x2+4x+3x)dydx=xddx(x2+4x+3)(x2+4x+3)ddxx(x)2dydx=x(2x+4)(x2+4x+3)x122x

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!