पर फलन f(x) = e^{tan x} + ln(sec x) – e^{ln x} का अवकलज क्या है?

Question

Question

This question was previously asked in

NDA (Held On: 22 April 2018) Maths Previous Year paper

Attempt in App

Answer 1

Concept:

Derivative of some standard function are given below:

Calculation:

Given that,

f(x) = e^{tan x} + ln(sec x) – e^{ln x}

⇒ f(x) = e^{tan x} + ln(sec x) – x [∵ e^lnx = x]

Put x = in derivative

[ ∵ tan (π/4) = 1, sec (π/4) = √2]

⇒ f’(π/4) = 2e