Q47 of 285 Page 402

Differentiate each of the following w.r.t x:

If , show that .


Given: Value of


To Prove:


The formula used: (i)


(ii)


We have,


Putting x = tanθ


θ = tan-1x


Dividing numerator and denominator with a








⇒ 4tan-1x


Now Differentiating





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Differentiate each of the following w.r.t x:


 46

Differentiate each of the following w.r.t x:

If , prove that .


 48

Differentiate each of the following w.r.t x:

If , show that


49

Differentiate each of the following w.r.t x:

If , show that .