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2. Consider the function: f(x) = 64x² +9 Step 1. Find the critical values of the function. Separate multiple answers with commas. Step 2. Use the First Derivative Test to find any local extrema. Enter any local extrema as an ordered pair.

2. Consider the function: f(x) = 64x² +9 Step 1. Find the critical values of the function. Separate multiple answers with commas. Step 2. Use the First Derivative Test to find any local extrema. Enter any local extrema as an ordered pair.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the function: f (x) = 4x² +9 Step 1. Find the critical values of the function. Separate multiple answers with commas. Step 2. Use the First Derivative Test to find any local extrema. Enter any local extrema as an ordered pair.
Transcribed Image Text:2. Consider the function: f (x) = 4x² +9 Step 1. Find the critical values of the function. Separate multiple answers with commas. Step 2. Use the First Derivative Test to find any local extrema. Enter any local extrema as an ordered pair.
1. Consider the function. f(x) = -3x³ + 18x² 27x Step 1. Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines. Step 2. Determine the open intervals on which the function is increasing and on which the function is decreasing. Enter to indicate the interval is empty.
Transcribed Image Text:1. Consider the function. f(x) = -3x³ + 18x² 27x Step 1. Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines. Step 2. Determine the open intervals on which the function is increasing and on which the function is decreasing. Enter to indicate the interval is empty.
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