Q. 394.2( 6 Votes )

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


Answer :

We have given tan-1(sec x + tan x)

Let us Assume (sec x +tan x) =t


SO, y = tan-1 t


Now, differentiate w.r.t t



Since,


And, t= (sec x+tan x)


Differentiate t w.r.t x



Therefore,




When, substitute the value of t we get






Hence, dy/dx=1/2


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