Q. 10

# Mark (√) against the correct answer in the following:

If ?

A.

B.

C.

D. none of these

Answer :

Given that y=sin(x^{x})

Let x^{x}=u, then y=sin u

Differentiating with respect to x, we get

–(1)

Also, u=x^{x}

Taking log both sides, we get

Log_{e} u=x × log_{e} x

Differentiating with respect to x, we get

⇒ -(2)

From (1) and (2), we get

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