What is the derivative of f(x)=5csc(x) ?

The derivative of f(x)=5csc(x) is -5cot(x)csc(x)

What is the first derivative of f(x)=5csc(x) ?

The first derivative of f(x)=5csc(x) is -5cot(x)csc(x)

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derivative of

f (x) = 5 csc (x)

- 5 cot (x) csc (x)

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= 5 (- cot (x) csc (x))

Simplify

= - 5 cot (x) csc (x)

What is the derivative of f(x)=5csc(x) ?
The derivative of f(x)=5csc(x) is -5cot(x)csc(x)
What is the first derivative of f(x)=5csc(x) ?
The first derivative of f(x)=5csc(x) is -5cot(x)csc(x)