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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\frac{d}{d x} (- 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)

\int \frac{y}{( y + 2 ) ( 3 y - 1 )} d y

\frac{d x}{d t} - 0.06 x = 200

2 + \frac{8}{x} + \frac{6}{x ^{2}}

(- sin (x))^{^{'}}

\frac{d y}{d x}, x + y = 5

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)