Q. 345.0( 2 Votes )

Differentiate the following functions with respect to x:  (CBSE 2013)

For function to be defined

Since the quantity is positive always

This condition is always true, hence function is always defined.

Let 2x = tanθ

Now,

y = sin–1(sin2θ)

y = 2θ

y = 2tan–1(2x)

Differentiating w.r.t x, we get

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