First slide

Diffrentiation

Question

$y = 5 \sin (3 ω t + ϕ) where ω and ϕ are constant \begin{array}{l} Find \frac{d y}{d t} \end{array}$

Moderate

A

$15 ω \cos (3 ω t + ϕ)$
B

$15 ω \cos (3 ω t)$
C

$15 \cos (3 ω t + ϕ)$
D

$5 ω \cos (3 ω t + ϕ)$

Solution

$y = 5 \sin (3 ω t + ϕ) \Rightarrow \frac{d y}{d t} = 5 [3 ω \cos (3 ω t + ϕ)]$

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