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Popular >

derivative of y= 1/(tan(e^{4x))}

Solution

derivative of

y = \frac{1}{tan ( e ^{4 x} )}

Solution

- csc^{2} (e^{4 x}) e^{4 x} \cdot 4

Solution steps

\frac{d}{d x} (\frac{1}{tan ( e ^{4 x} )})

Simplify

\frac{1}{tan ( e ^{4 x} )} : cot (e^{4 x})

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

Apply the chain rule:

- csc^{2} (e^{4 x}) \frac{d}{d x} (e^{4 x})

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

\frac{d}{d x} (e^{4 x}) = e^{4 x} \cdot 4

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

Graph

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\int_{1}^{2} \int_{y}^{y^{3}} 2 e^{\frac{x}{y}} d x d y

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n = 1 \sum \infty \frac{ln ( n )}{4 n}

laplacetransform sqrt(t/pi)laplace transform

\frac{t}{π}

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Frequently Asked Questions (FAQ)

What is the derivative of y= 1/(tan(e^{4x))} ?
The derivative of y= 1/(tan(e^{4x))} is -csc^2(e^{4x})e^{4x}*4
What is the first derivative of y= 1/(tan(e^{4x))} ?
The first derivative of y= 1/(tan(e^{4x))} is -csc^2(e^{4x})e^{4x}*4