   Chapter 9.4, Problem 9E ### 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. y = 10 x 5 − 3 x 3 − 5 x − 11

To determine

To calculate: The derivative of the function y=10x53x3+5x11.

Explanation

Given Information:

The provided function is y=10x53x3+5x11.

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, y=10x53x3+5x11

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