Chapter 9.4, Problem 10E

### Mathematical Applications for the ...

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

Chapter
Section

### Mathematical Applications for the ...

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

# Find the derivatives of the functions in Problems 1-14. y = 3 x 5 − 5 x 3 − 8 x + 8

To determine

To calculate: The derivative of the function y=3x55x38x+8.

Explanation

Given Information:

The provided function is y=3x5âˆ’5x3âˆ’8x+8.

Formula Used:

Sum rule for function f(x)=u(x)+v(x), where u and v are differentiable functions of x, then fâ€²(x)=uâ€²(x)+vâ€²(x).

Difference rule for function f(x)=u(x)âˆ’v(x), where u and v are differentiable functions of x, then fâ€²(x)=uâ€²(x)âˆ’vâ€²(x).

Power of x rule for a real number n is such that, if f(x)=xn then fâ€²(x)=nxnâˆ’1.

Coefficient rule for a constant c is such that, if f(x)=câ‹…u(x), where u(x) is a differentiable function of x, then fâ€²(x)=câ‹…uâ€²(x).

Constant function rule for a constant c is such that, if f(x)=c then fâ€²(x)=0.

Calculation:

Consider the function, y=3x5âˆ’5x3âˆ’8x+8

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