   Chapter 9.4, Problem 23E ### 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

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

To determine

To calculate: The derivative of the function f(x)=5x4/5+2x4/3.

Explanation

Given Information:

The provided function is f(x)=5x4/5+2x4/3.

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).

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, f(x)=5x4/5+2x4/3

Differentiate with respect to x,

ddx[f(x)]=ddx(5x4/5+2x4/3)

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