Math Problem Statement

Determine the open​ interval(s) where

f prime left parenthesis x right parenthesisf′(x)greater than>0.

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

The open​ interval(s) where

f prime left parenthesis x right parenthesisf′(x)greater than>0

​is/are

enter your response here.

​(Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Use a comma to separate answers as​ needed.)

B.

There are no open intervals where

f prime left parenthesis x right parenthesisf′(x)greater than>0.

input field 1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.input field 2Select the correct choice below and, if necessary, fill in the answer box to complete your choice.input field 3Select the correct choice below and, if necessary, fill in the answer box to complete your choice.input field 4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.Choose the correct answer below.input field 1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.input field 2Select the correct choice below and, if necessary, fill in the answer box to complete your choice.input field 3Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Inequalities
Interval Notation

Formulas

f'(x) > 0

Theorems

First Derivative Test
Critical Points

Suitable Grade Level

Grades 11-12 (AP Calculus)