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Question

If y=sinx and x=3t, then dydt will be

A
9cosx
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B
cosx
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C
3cos(3t)
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D
cosx
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Solution

The correct option is C 3cos(3t)
y=sinx and x=3t

dydx=cosx and dxdt=3

dydt=dydx×dxdt=3cosx=3cos(3t)

Alternative:
Replace the value of x in sinx by 3t
y=sin(3t)

dydt=3cos(3t)

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