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Popular >

derivative of e^{ln(sec(2x))}

Solution

derivative of

e^{l n (s e c (2 x))}

Solution

sec (2 x) tan (2 x) \cdot 2

Solution steps

\frac{d}{d x} (e^{l n (s e c (2 x))})

Simplify

e^{l n (s e c (2 x))} : sec (2 x)

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

Apply the chain rule:

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

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

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

= sec (2 x) tan (2 x) \cdot 2

Popular Examples

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

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\int \frac{e ^{6 x}}{e ^{6 x} - 3 e ^{- 6 x}} d x

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\int \frac{8 y}{x} d x

limit as x approaches infinity of (3.4)/(0.1+33.9e^{-0.5678x)}

x \to \infty lim (\frac{3.4}{0.1 + 33.9 e ^{- 0.5678 x}})

Frequently Asked Questions (FAQ)

What is the derivative of e^{ln(sec(2x))} ?
The derivative of e^{ln(sec(2x))} is sec(2x)tan(2x)*2
What is the first derivative of e^{ln(sec(2x))} ?
The first derivative of e^{ln(sec(2x))} is sec(2x)tan(2x)*2