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Popular >

derivative of sqrt(sec(2x))

Solution

\frac{d}{d x} (sec (2 x))

Solution

tan (2 x) sec (2 x)

Solution steps

\frac{d}{d x} (sec (2 x))

Apply the chain rule:

\frac{1}{2 sec ( 2 x )} \frac{d}{d x} (sec (2 x))

= \frac{1}{2 sec ( 2 x )} \frac{d}{d x} (sec (2 x))

\frac{d}{d x} (sec (2 x)) = sec (2 x) tan (2 x) \cdot 2

= \frac{1}{2 sec ( 2 x )} sec (2 x) tan (2 x) \cdot 2

Simplify

\frac{1}{2 sec ( 2 x )} sec (2 x) tan (2 x) \cdot 2 : tan (2 x) sec (2 x)

= tan (2 x) sec (2 x)

Popular Examples

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integral of e^{x/l}

\int e^{\frac{x}{l}} d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(sec(2x)) ?
The derivative of sqrt(sec(2x)) is tan(2x)sqrt(sec(2x))
What is the first derivative of sqrt(sec(2x)) ?
The first derivative of sqrt(sec(2x)) is tan(2x)sqrt(sec(2x))