   Chapter 2.R, Problem 13E

Chapter
Section
Textbook Problem

# 13–40 Calculate y ' . y = ( x 2 + x 3 ) 4

To determine

To find: The derivative of y

Explanation

1) Formula:

i)

Exponent rule,  ddxxn=nxn-1

ii)

Sum rule,  ddxfx+gx=ddx(fx+ddx(g(x)

iii)

Chain rule,ddxfgx= f'gx* g'x

2) Given:

y=x2+x34

3) Calculation:

Consider the given function y=x2+x34

Differentiate with respect to x on both sides

ddxy=ddxx2+

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