Chapter 9.4, Problem 13E

### 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. g ( x ) = 2 x 12 − 5 x 6 + 9 x 4 + x − 5

To determine

To calculate: The derivative of the function g(x)=2x125x6+9x4+x5.

Explanation

Given Information:

The provided function is g(x)=2x12âˆ’5x6+9x4+xâˆ’5.

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, g(x)=2x12âˆ’5x6+9x4+xâˆ’5

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