   Chapter 9.5, Problem 1E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 1-4, find the derivative and simplify. y = ( 5 x + 3 ) ( x 2 − 2 x )

To determine

To calculate: The derivative of the function y=(5x+3).(x22x) with simplification.

Explanation

Given Information:

The function is y=(5x+3).(x22x).

Formula Used:

The product rule for the derivative, d(f(x))dx=u(x)d(v(x))dx+v(x)d(u(x))dx, where f(x) is a product of two function u(x) and v(x).

Simple power rule of derivative dxndx=nxn1.

Calculation:

Consider the function, y=(5x+3).(x22x),

In the provided function,

u(x)=(5x+3)

And

v(x)=(x22x)

Use the product rule of derivative d(f(x))dx=u(x)d(v(x))dx+v(x)d(u(x))dx.

dydx=d((5x+3)

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