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Question

If y=5xx5, then dydx is

A
5x(x5log55x4)
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B
x5log55x4
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C
x5log5+5x4
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D
5x(x5log5+5x4)
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Solution

The correct option is D 5x(x5log5+5x4)
y=5xx5
On differentiating w.r.t. x, we get
dydx=5xlog5x5+5x5x4
=5x(x5log5+5x4)

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