   Chapter 9.4, Problem 14E ### 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 1-14. h ( x ) = 12 x 20 + 8 x 10 − 2 x 7 + 17 x − 9

To determine

To calculate: The derivative of the function h(x)=12x20+8x102x7+17x9.

Explanation

Given Information:

The provided function is h(x)=12x20+8x102x7+17x9.

Formula Used:

Sum rule for function f(x)=u(x)+v(x), where u and v are differentiable functions of x, then f(x)=u(x)+v(x).

Difference rule for function f(x)=u(x)v(x), where u and v are differentiable functions of x, then f(x)=u(x)v(x).

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, h(x)=12x20+8x102x7+17x9

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