   Chapter 11.2, Problem 11E ### 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

# Find the derivatives of the functions in Problems 1-34. y = 2 e ( x 2 + 1 ) 3

To determine

To calculate: The derivative of function, y=2e(x2+1)3.

Explanation

Given Information:

The function provided is y=2e(x2+1)3.

Formula used:

According to the property of derivatives, if f(x)=cu(x), where, c is a constant and u(x) is a differentiable function of x, then,

f(x)=cu(x)

According to the property of derivatives, for a function, y=eu, where, u is a differentiable function of x,

dydx=eududx

Calculation:

Consider the function provided,

y=2e(x2+1)3

Now differentiate both sides of function with respect to x,

dydx=ddx(2e(x2+1)3)

Now apply the property of derivative f(x)=cu(x).

ddx(2e(x2+1)3)=2(ddx(e(x2+1)3)

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