What is the derivative of 1/(-sin(x)) ?

The derivative of 1/(-sin(x)) is cot(x)csc(x)

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

The first derivative of 1/(-sin(x)) is cot(x)csc(x)

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\frac{d}{d x} (\frac{1}{- sin ( x )})

cot (x) csc (x)

Solution steps

\frac{d}{d x} (\frac{1}{- sin ( x )})

Simplify

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

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= - (- cot (x) csc (x))

Simplify

= cot (x) csc (x)

\int ((1 - (\frac{x ^{2}}{9})))^{\frac{1}{2}} d x

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

\int (x + 2) (x - 5) d x

\frac{d}{d x} (e^{\frac{x ^{4}}{10}})

What is the derivative of 1/(-sin(x)) ?
The derivative of 1/(-sin(x)) is cot(x)csc(x)
What is the first derivative of 1/(-sin(x)) ?
The first derivative of 1/(-sin(x)) is cot(x)csc(x)