   Chapter 11.2, Problem 2CP ### 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

# If y = e x 2 + 6 x , find y’.

To determine

To calculate: The value of y for the function y=ex2+6x.

Explanation

Given Information:

The provided function is y=ex2+6x.

Formula used:

If f(x)=cu(x), where, c is a constant and u(x) is a differentiable function of x, then,

f(x)=cu(x)

Where, u is a differentiable function of x,

According to the property of derivatives, if y=ex,

dydx=ex

According to the power rule of differentiation,

dydx=nxn1

Calculation:

Consider the function provided,

y=ex2+6x

Differentiate both sides with respect to x,

ddx(y)=ddx(ex2+6x)

Apply the properties of derivatives,

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