Tisider the following. y = x6/7-6 Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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### Problem Description

**Consider the following function:**

\[ y = x^{6/7} - 6 \]

1. **Find the critical numbers.**
   - Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.
   - \( x = \) [Input Box]

2. **Find the open intervals on which the function is increasing or decreasing.**
   - Use a graphing utility to verify your results.
   - Enter your answers using interval notation. If an answer does not exist, enter DNE.
   - **Increasing:** [Input Box]
   - **Decreasing:** [Input Box]
Transcribed Image Text:### Problem Description **Consider the following function:** \[ y = x^{6/7} - 6 \] 1. **Find the critical numbers.** - Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. - \( x = \) [Input Box] 2. **Find the open intervals on which the function is increasing or decreasing.** - Use a graphing utility to verify your results. - Enter your answers using interval notation. If an answer does not exist, enter DNE. - **Increasing:** [Input Box] - **Decreasing:** [Input Box]
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