   Chapter 9.4, Problem 26E 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 19-26, find the derivative of each function. h ( x ) = 7 x 7 − 3 x 3 + 8 x

To determine

To calculate: The derivative of the function h(x)=7x73x3+8x.

Explanation

Given Information:

The provided function is h(x)=7x73x3+8x.

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).

Calculation:

Consider the function, h(x)=7x73x3+8x

Differentiate with respect to x,

ddx[h(x)]=ddx(7x73x3+8x)

Apply the sum rule of derivatives, and differentiate the function with respect to x

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