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If g(x,y) = 3x^(2) - 5y + 2y^(2), x(t) =...

If `g(x,y) = 3x^(2) - 5y + 2y^(2), x(t) =e^(t)` and `y(t) = cos t`, then `(dg)/(dt)` is equal to

A

`6e^(2t) + 5 sin t - 4 cos t sin t`

B

`6e^(2t) - 5 sin t + 4 cos t sin t`

C

`3e^(2t) + 5 sin t + 4 cos t sin t`

D

`3e^(2t) - 5 sin t + 4 cos t sin t`

Text Solution

Verified by Experts

The correct Answer is:
A
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