Chapter 9.4, Problem 25E

### 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

# In Problems 19-26, find the derivative of each function. g ( x ) = 3 x 5 + 2 x 4 + 6 x 3

To determine

To calculate: The derivative of the function g(x)=3x5+2x4+6x3.

Explanation

Given Information:

The provided function is g(x)=3x5+2x4+6x3.

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).

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).

Calculation:

Consider the function, g(x)=3x5+2x4+6x3

Differentiate with respect to x,

ddx[g(x)]=ddx(3x5+2x4+6x3)

Apply the sum rule of derivatives,

gâ€²(x)=ddx(<

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