What is the derivative of csc^3(x) ?

The derivative of csc^3(x) is -3csc^3(x)cot(x)

What is the first derivative of csc^3(x) ?

The first derivative of csc^3(x) is -3csc^3(x)cot(x)

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derivative of

csc^{3} (x)

- 3 csc^{3} (x) cot (x)

Solution steps

\frac{d}{d x} (csc^{3} (x))

Apply the chain rule:

3 (csc (x))^{2} \frac{d}{d x} (csc (x))

= 3 (csc (x))^{2} \frac{d}{d x} (csc (x))

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

= 3 (csc (x))^{2} (- cot (x) csc (x))

Simplify

3 csc^{2} (x) (- cot (x) csc (x)) : - 3 csc^{3} (x) cot (x)

= - 3 csc^{3} (x) cot (x)

2 x^{2} - x + 1

\frac{d}{d a} (sin^{2} (a) + cos^{4} (a))

e^{2} x - 2

e^{2} x - 1

y = 2 x^{2} + 3 x \cdot tan (x)

What is the derivative of csc^3(x) ?
The derivative of csc^3(x) is -3csc^3(x)cot(x)
What is the first derivative of csc^3(x) ?
The first derivative of csc^3(x) is -3csc^3(x)cot(x)