Question
Asked Sep 21, 2019
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Differentiate:

f(x)= sec(X)

        1+ tan(x)

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Step 1

Given,

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sec x f (x) 1+tan x Differentiating on both side with respect to x, we get sec x df (x) 1+tan x. dx dx d(secx(1+tan x)-(secx)x1+tanx) dx dx 11 (1+tan x)2 (secx tanx)x(1+tanx)-(secx)x(sec2x) (1+tan x)2 secx tanx+secx tan2x-sec3x (1+tan x)2 secx tanx+secx(sec2x-1)-sec3x (1tan2x sec2x) (1+tan x)2 secx tanx+sec 3 x-secx -sec3x (1+tan x)2 secx tanx -secx 11 (1+tan x)2 l

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Calculus

Derivative

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