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Popular >

derivative of e^{cot(4x)}

Solution

derivative of

e^{c o t (4 x)}

Solution

- 4 e^{c o t (4 x)} csc^{2} (4 x)

Solution steps

\frac{d}{d x} (e^{c o t (4 x)})

Apply the chain rule:

e^{c o t (4 x)} \frac{d}{d x} (cot (4 x))

= e^{c o t (4 x)} \frac{d}{d x} (cot (4 x))

\frac{d}{d x} (cot (4 x)) = - csc^{2} (4 x) \cdot 4

= e^{c o t (4 x)} (- csc^{2} (4 x) \cdot 4)

Simplify

= - 4 e^{c o t (4 x)} csc^{2} (4 x)

Graph

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\frac{x ^{2}}{y ^{2} - 2} y^{^{'}} = \frac{1}{2 y}, y (1) = 3

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Frequently Asked Questions (FAQ)

What is the derivative of e^{cot(4x)} ?
The derivative of e^{cot(4x)} is -4e^{cot(4x)}csc^2(4x)
What is the first derivative of e^{cot(4x)} ?
The first derivative of e^{cot(4x)} is -4e^{cot(4x)}csc^2(4x)