First slide

Diffrentiation

Question

If y = sin x & x = 3t then $\frac{d y}{d t}$ will be

Moderate

A

3 cos (x)
B

cos x
C

cos (3t)
D

– cos x

Solution

$\begin{array}{l} if y = \sin x, x = 3 t \\ \frac{d y}{d x} = \cos x, \frac{d x}{d t} = 3 \\ \frac{d y}{d t} = \frac{d y}{d x} \times \frac{d x}{d t} = 3 \cos x = 3 \cos (3 t) \end{array}$

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