Solved: Suppose that functions ƒ(x) and g(x) and their

Chapter 3, Problem 86PE

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QUESTION:

Problem 86PE

Suppose that functions ƒ(x) and g(x) and their first derivatives have the following values at x = 0 and x = 1.

Find the first derivatives of the following combinations at the given value of x.

Questions & Answers

QUESTION:

Problem 86PE

Suppose that functions ƒ(x) and g(x) and their first derivatives have the following values at x = 0 and x = 1.

Find the first derivatives of the following combinations at the given value of x.

ANSWER:

Solution

Step 1 of 6

In this problem we have to determine the value of the first derivatives of the given functions.

a)  given function   and  

Differentiating the function with respect to x, we get

Substituting the values from the given table at we get

Substituting we get

It is the required solution.


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