QQuestionMathematics
QuestionMathematics
Determine whether the Mean Value Theorem applies to the function f left parenthesis x right parenthesis equals ln 3 xf(2$)=ln^3x on the given interval left bracket 1 comma e right bracket[1,e].
b. If so, find or approximate the point(2$) that are guaranteed to exist by the Mean Value Theorem.
Question content area bottom
Part 1
a. The Mean Value Theorem
applies
to the function.
Part 2
b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The point(2$) is/are
xequals=enter your response here.
(Type an exact answer. Use a comma to separate answers as needed.)
B. The Mean Value Theorem does not apply in this case.
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Answer
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Step 1:
- The function $f(x)$ is differentiable on the open interval $(a, b)$.
- The function $f(x)$ is continuous on the closed interval $[a, b]$.
Final Answer
- The function $f(x)$ is differentiable on the open interval $(a, b)$.
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