What is the derivative of 5cot(x) ?

The derivative of 5cot(x) is -5csc^2(x)

What is the first derivative of 5cot(x) ?

The first derivative of 5cot(x) is -5csc^2(x)

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derivative of

5 cot (x)

- 5 csc^{2} (x)

Solution steps

\frac{d}{d x} (5 cot (x))

Take the constant out:

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

= 5 \frac{d}{d x} (cot (x))

Apply the common derivative:

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

= 5 (- csc^{2} (x))

Simplify

= - 5 csc^{2} (x)

What is the derivative of 5cot(x) ?
The derivative of 5cot(x) is -5csc^2(x)
What is the first derivative of 5cot(x) ?
The first derivative of 5cot(x) is -5csc^2(x)