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

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

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

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

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derivative of

e^{c s c (x)}

- e^{c s c (x)} cot (x) csc (x)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{c s c (x)} (- cot (x) csc (x))

Simplify

= - e^{c s c (x)} cot (x) csc (x)

\int \frac{1}{t ^{\frac{1}{2}}} d t

3 x + y^{2} = 13, x = 4 y

x = - y^{2} + 4, x = - 3 y

y^{3} d x + 2 (x^{3} - x y^{2}) d y = 0

\int \frac{2 x + 3}{( x + 7 ) ^{3}} d x

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