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Popular >

derivative of e^{sec(3x})

Solution

\frac{d}{d x} (e^{s e c (3 x)})

Solution

e^{s e c (3 x)} sec (3 x) tan (3 x) \cdot 3

Solution steps

\frac{d}{d x} (e^{s e c (3 x)})

Apply the chain rule:

e^{s e c (3 x)} \frac{d}{d x} (sec (3 x))

= e^{s e c (3 x)} \frac{d}{d x} (sec (3 x))

\frac{d}{d x} (sec (3 x)) = sec (3 x) tan (3 x) \cdot 3

= e^{s e c (3 x)} sec (3 x) tan (3 x) \cdot 3

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of e^{sec(3x}) ?
The derivative of e^{sec(3x}) is e^{sec(3x)}sec(3x)tan(3x)*3
What is the first derivative of e^{sec(3x}) ?
The first derivative of e^{sec(3x}) is e^{sec(3x)}sec(3x)tan(3x)*3