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Solved: Suppose that functions ƒ(x) and g(x) and their
Chapter 3, Problem 86PE(choose chapter or problem)
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.