   Chapter 11, Problem 7RE Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1-32, find the derivative of the given function. f ( x ) = 4 3 x − 2 x 0.1 + x 1.1 3.2 − 4

To determine

To calculate: The derivative of the function f(x)=43x2x0.1+x1.13.24.

Explanation

Given Information:

The provided function is f(x)=43x2x0.1+x1.13.24.

Formula used:

Power rule of a function f(x)=xn is,

f(x)=nxn1

Where, n is some constant.

Constant multiple rule of derivative of function f(x) is ddx[cf(x)]=cddx[f(x)].

Where, c is constant.

Sum and Difference rule of derivative is ddx[f(x)±g(x)]=ddx[f(x)]±ddx[g(x)]

where, f(x) and g(x) are any two differentiable functions.

Calculation:

Consider the function,

f(x)=43x2x0.1+x1.13.24

Convert the function into power form,

f(x)=43x12x0.1+x1.13.24

Apply sum and difference rule and constant multiple rule as,

f(x)=43ddx(x1)2ddx(x0

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