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Question

If xπ33sin2t dt+y0costdt=0 then evaluate dydx.

A
3sin2xcosy
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B
3sin2xcosy
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C
cosy3sin2x
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D
cosy3sin2x
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Solution

The correct option is B 3sin2xcosy
xπ/33sin2tdt+y0costdt=0

Differentiate with respect to x

3sin2x.1+3sin2π30+cosydydx=0

3sin2x+cosydydx=0

cosydydx=3sin2x

dydx=3sin2xcosy

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