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
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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
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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