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Derivative of Standard Functions

Question

$\frac{d}{d x} sec x =$
$sec x tan x$
$cos x tan x$
$sin x tan x$
$sec x cot x$

A

sin x tan x

B

cos x tan x

C

sec x tan x

D

sec x cot x

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Solution

Verified by Toppr

$y = sec x$
$∴ \frac{d y}{d x} = lim δ x \to 0 \frac{sec (x + δ x) - sec x}{δ x}$ ....(Change to cos)

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