What is the derivative of csc^2(x) ?

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

What is the first derivative of csc^2(x) ?

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

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derivative of

csc^{2} (x)

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 csc (x) (- cot (x) csc (x))

Simplify

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

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

f (x) = 3 x^{2} + 5 x - 4, at x = - 0.6667

y = u + \frac{2}{u}, u = (2 x + 1)^{3}, x = 0

y^{^{''}} + y = (t^{2} + t) \cdot sin (t)

f (x) = 0.5 x^{2} + 2 x - 3, at x = - 3

\int \frac{1}{z ^{3} z ^{2} - 4} d z

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