   Chapter 2.R, Problem 15E

Chapter
Section
Textbook Problem

# 13–40 Calculate y ' . y = x 2 − x + 2 x

To determine

To find: The derivative of y

Explanation

Formula:

i.

Exponent rule, ddxxn=nxn-1

ii.

Sum rule, ddxfx+gx=ddx(fx+ddx(g(x)

iii.

aman=am-n

Given:

y=x2-x+2x

Calculation:

Consider the given function

y=x2-x+2x

The function can be rearranged as

y=x2x-xx+2x=x32-x12+2x-12

Differentiate with respect to x on both sides

ddxy=ddx(x32-x12+2x-1

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