What is (\partial)/(\partial x)(a/(sin(x))) ?

The answer to (\partial)/(\partial x)(a/(sin(x))) is -acot(x)csc(x)

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(\partial)/(\partial x)(a/(sin(x)))

\frac{\partial}{\partial x} (\frac{a}{sin ( x )})

- a cot (x) csc (x)

Solution steps

\frac{\partial}{\partial x} (\frac{a}{sin ( x )})

Simplify

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

= \frac{\partial}{\partial x} (a csc (x))

Take the constant out:

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

= a \frac{\partial}{\partial x} (csc (x))

Apply the common derivative:

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

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

Simplify

= - a cot (x) csc (x)

y^{^{'}} + y cos (x) = 5 cos (x), y (0) = 7

x \to 1 - lim (3 x - 5)

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

x \to 0 lim (\frac{4 x - sin ( x )}{x})

\int e^{y} y^{2} d y

What is (\partial)/(\partial x)(a/(sin(x))) ?
The answer to (\partial)/(\partial x)(a/(sin(x))) is -acot(x)csc(x)