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

The derivative of 1/(tan(x)) is -csc^2(x)

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

The first derivative of 1/(tan(x)) is -csc^2(x)

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derivative of

\frac{1}{tan ( x )}

- csc^{2} (x)

Solution steps

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

Simplify

\frac{1}{tan ( x )} : cot (x)

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

Apply the common derivative:

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

= - csc^{2} (x)

What is the derivative of 1/(tan(x)) ?
The derivative of 1/(tan(x)) is -csc^2(x)
What is the first derivative of 1/(tan(x)) ?
The first derivative of 1/(tan(x)) is -csc^2(x)