Q34 of 43 Page 5

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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