1. Where does the graph of y = x“ + 4x – 1 have horizontal tangent? %3D - 2. Use the chain ule finddy/dy if sin a4
1. Where does the graph of y = x“ + 4x – 1 have horizontal tangent? %3D - 2. Use the chain ule finddy/dy if sin a4
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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Question
![1. Where does the graph of y = x² + 4x – 1 have horizontal tangent?
2. Use the chain rule, find dy/dx if y = sin u , u = x - cosx.
3. Find dy/dx if y2 = x² + cot(xy).
%3D
4. Find f'(x) and f"(x) if x =
and y
1+t
t2
1+t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78b9fcce-23a6-4269-b99e-29397b8d72b3%2F8c1c9f28-a7fd-45fd-8702-16203f262853%2Ft9hzt6f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Where does the graph of y = x² + 4x – 1 have horizontal tangent?
2. Use the chain rule, find dy/dx if y = sin u , u = x - cosx.
3. Find dy/dx if y2 = x² + cot(xy).
%3D
4. Find f'(x) and f"(x) if x =
and y
1+t
t2
1+t
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