   Chapter 9, Problem 13T Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 7-13, use derivative formulas to find the derivative of each function. Simplify, except for Problem 10. 13.   f ( x ) = 12 x − 10 x 2 + 17

To determine

To calculate: The simplified form of the derivative of the function f(x)=12x10x2+17.

Explanation

Given Information:

The provided function is f(x)=12x10x2+17.

Formula used:

Power of x rule for a real number n is such that, if f(x)=xn then f(x)=nxn1.

Coefficient rule for a constant c is such that, if f(x)=cu(x), where u(x) is a differentiable function of x, then f(x)=cu(x).

Constant function rule for a constant c is such that, if f(x)=c then f(x)=0.

Calculation:

Consider the function,

f(x)=12x10x2+17

Rewrite the function as,

f(x)=12x1/210x2+17

Differentiate both sides with respect to x,

f(x)=ddx(12x1/210x2+17)=ddx

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