What is the derivative of sin(cot(x)) ?

The derivative of sin(cot(x)) is -csc^2(x)cos(cot(x))

What is the first derivative of sin(cot(x)) ?

The first derivative of sin(cot(x)) is -csc^2(x)cos(cot(x))

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العربية

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

- csc^{2} (x) cos (cot (x))

Solution steps

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

Apply the chain rule:

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

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

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

= cos (cot (x)) (- csc^{2} (x))

Simplify

= - csc^{2} (x) cos (cot (x))

What is the derivative of sin(cot(x)) ?
The derivative of sin(cot(x)) is -csc^2(x)cos(cot(x))
What is the first derivative of sin(cot(x)) ?
The first derivative of sin(cot(x)) is -csc^2(x)cos(cot(x))