What is the derivative of (cos(x))/(sin(x)) ?

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

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

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

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derivative of

\frac{cos ( x )}{sin ( x )}

- csc^{2} (x)

Solution steps

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

Simplify

\frac{cos ( x )}{sin ( 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 (cos(x))/(sin(x)) ?
The derivative of (cos(x))/(sin(x)) is -csc^2(x)
What is the first derivative of (cos(x))/(sin(x)) ?
The first derivative of (cos(x))/(sin(x)) is -csc^2(x)