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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Indefinite Integration

NDA 2014 · Mathematics · Indefinite Integration

Consider the function f^ (x)= ^4 x+4 with f(0)=0 and f^ (0)=0 ....

Consider the function f′′(x)=sec⁡4x+4f^{\prime \prime}(x)=\sec ^4 x+4 with f(0)=0f(0)=0 and f′(0)=0f^{\prime}(0)=0. What is f′(x)f^{\prime}(x) equal to?

Options

  1. Atan⁡x−tan⁡3x3+4x\tan x-\frac{\tan ^3 x}{3}+4 x
  2. Btan⁡x+tan⁡3x3+4x\tan x+\frac{\tan ^3 x}{3}+4 x
  3. Ctan⁡x+sec⁡3x3+4x\tan x+\frac{\sec ^3 x}{3}+4 x
  4. D−tan⁡x−tan⁡3x3+4x-\tan x-\frac{\tan ^3 x}{3}+4 x

Correct answer

B. tan⁡x+tan⁡3x3+4x\tan x+\frac{\tan ^3 x}{3}+4 x

Step-by-step solution

The correct answer is option (B)
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