Let cos(t) sin(t)] t3 t² t4 t and B(t) = 2 [-sin(t) cos(t). Verify that (AB)'(t) = A' (t)B(t) + A(t)B'(t).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear algebra to verify product rule help

Let
cos(t)
sin(t)
t3
2 t*,
t
A(t)
and B(t)
l-sin(t) cos(t)
Verify that (AB)'(t) = A'(t)B(t) + A(t)B'(t).
Transcribed Image Text:Let cos(t) sin(t) t3 2 t*, t A(t) and B(t) l-sin(t) cos(t) Verify that (AB)'(t) = A'(t)B(t) + A(t)B'(t).
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