What is the derivative of csc^2(x-1) ?

The derivative of csc^2(x-1) is -2csc^2(x)cot(x)

What is the first derivative of csc^2(x-1) ?

The first derivative of csc^2(x-1) is -2csc^2(x)cot(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (csc^{2} (x) - 1)

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

Solution steps

\frac{d}{d x} (csc^{2} (x) - 1)

Simplify

csc^{2} (x) - 1 : cot^{2} (x)

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

Apply the chain rule:

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

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

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

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

Simplify

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

f (x) = x^{2}, 0, 4

y^{^{''}} - 5 y^{^{'}} + 6 y = 0, y (1) = e^{2}, y^{^{'}} (1) = 3 e^{2}

\int x^{2} cos (x^{3} + 5) d x

\int \frac{x ^{3}}{1 + x ^{8}} d x

\frac{d}{d x} (\frac{1}{4} e^{- \frac{x}{2}})

What is the derivative of csc^2(x-1) ?
The derivative of csc^2(x-1) is -2csc^2(x)cot(x)
What is the first derivative of csc^2(x-1) ?
The first derivative of csc^2(x-1) is -2csc^2(x)cot(x)