D. 1. If (x + y)² = x² + y² 2. If y = sin³ () cos³ () dy - dx X prove that y' = sin² (x) cos(x) 8 prove t that
D. 1. If (x + y)² = x² + y² 2. If y = sin³ () cos³ () dy - dx X prove that y' = sin² (x) cos(x) 8 prove t that
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![D.
dy
=
1. If (x + y)² = x² + y² prove that
dx
2. If y = sin³ () cos³ () prove that y' = sin(x) cos(x)
3. Prove that (sec²2x - tan²2x) = 0
dx
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3c44ea4-6988-4d67-a184-cc7370ea1ba2%2Fa019ecf4-2e87-4211-a933-8e6ba647e092%2F2t2z86k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:D.
dy
=
1. If (x + y)² = x² + y² prove that
dx
2. If y = sin³ () cos³ () prove that y' = sin(x) cos(x)
3. Prove that (sec²2x - tan²2x) = 0
dx
1
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