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)

y^{^{''}} + 3 y^{^{'}} = sin (t), y (0) = 1, y^{^{'}} (0) = 2

\int sec (x) + tan (x) d x

\int x^{3} x^{4} - 1 d x

(1 - x^{\frac{2}{3}})^{\frac{3}{2}}

\frac{d}{d x} (\frac{3}{2} sin (x))

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)