What is the derivative of 1/(csc(x)) ?

The derivative of 1/(csc(x)) is cos(x)

What is the first derivative of 1/(csc(x)) ?

The first derivative of 1/(csc(x)) is cos(x)

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\frac{d}{d x} (\frac{1}{csc ( x )})

cos (x)

Solution steps

\frac{d}{d x} (\frac{1}{csc ( x )})

Simplify

\frac{1}{csc ( x )} : sin (x)

= \frac{d}{d x} (sin (x))

Apply the common derivative:

\frac{d}{d x} (sin (x)) = cos (x)

= cos (x)

What is the derivative of 1/(csc(x)) ?
The derivative of 1/(csc(x)) is cos(x)
What is the first derivative of 1/(csc(x)) ?
The first derivative of 1/(csc(x)) is cos(x)