What is the derivative of e^{cot(x)} ?

The derivative of e^{cot(x)} is -e^{cot(x)}csc^2(x)

What is the first derivative of e^{cot(x)} ?

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

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derivative of

e^{c o t (x)}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

(sin (θ))^{^{'}}

\int \frac{x}{t} d t

\frac{d}{d x} (x^{3} + 3 x^{2})

\frac{d}{d x} (24 cos (3 x))

- 3 sin (3 x)

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