First slide

Derivatives

Question

$\frac{d}{d x} \{e^{\log \sqrt{1 + \tan^{2} x}}\} =$

Moderate

A

$\tan x$
B

$\sec x$
C

$\sec^{2} x$
D

$\sec x \tan x$

Solution

$\frac{d}{d x} \{e^{\log} \sqrt{1 + \tan^{2}} x\} = \frac{d}{d x} (\sec x) = \sec x \tan x$

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