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Question

The equation y2exy=9e3x2 defines y as a differentiable function of x. The value of dydx for x=1 and y=3 is

A
152
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B
95
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C
3
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D
15
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Solution

The correct option is D 15
y2exy=9e3x2
Using product rule of differentiation,
y2(exy(xdydx+y))+exy2ydydx=9e32x
Putting x=1 and y=3
9(e3(dydx+3))+e36dydx=9e329(dydx3)+6dydx=183dydx=45dydx=15

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