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Question

Differentiate the following functions with respect to x :

x1+tan x

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Solution

Let y = x1+tan x

Differentiating y w.r.t. x, we get

dydx=(1+tan x)ddx(x)xddx(1+tan x)(1+tan x)2

=(1+tan x)(1)x(0+sec2x)(1+tan x)2

=1+tan xx sec2x(1+tan x)2


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