AP EAMCET · Maths · Differentiation
\(\frac{d}{d x}\left(e^{\log _e \sqrt{1+\tan ^2 x}}\right)=\)
- A \(\sec ^2(x) \cdot \tan (x)\)
- B \(\sec (x) \cdot \tan ^2(x)\)
- C \(\sec (x) \cdot \tan (x)\)
- D \(\tan ^2(x)\)
Answer & Solution
Correct Answer
(C) \(\sec (x) \cdot \tan (x)\)
Step-by-step Solution
Detailed explanation
\(\frac{d}{d x}\left(e^{\log _e} \sqrt{1+\tan ^2 x}=\frac{d}{d x}(\sec x)=\sec x \tan x\right.\).
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