What is the derivative of csc^9(x) ?

The derivative of csc^9(x) is -9csc^9(x)cot(x)

What is the first derivative of csc^9(x) ?

The first derivative of csc^9(x) is -9csc^9(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^{9} (x))

- 9 csc^{9} (x) cot (x)

Solution steps

\frac{d}{d x} (csc^{9} (x))

Apply the chain rule:

9 (csc (x))^{8} \frac{d}{d x} (csc (x))

= 9 (csc (x))^{8} \frac{d}{d x} (csc (x))

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

= 9 (csc (x))^{8} (- cot (x) csc (x))

Simplify

9 csc^{8} (x) (- cot (x) csc (x)) : - 9 csc^{9} (x) cot (x)

= - 9 csc^{9} (x) cot (x)

\frac{4 x}{x + 2} (2.2)

\frac{1}{10 x}, at x = 9

\frac{d}{d x} (\frac{x ^{3}}{x ^{2} - 9})

\int ln (x) d x

\int \frac{t ^{3} - 8 t + 1}{( 2 t ) ^{4}} d t

What is the derivative of csc^9(x) ?
The derivative of csc^9(x) is -9csc^9(x)cot(x)
What is the first derivative of csc^9(x) ?
The first derivative of csc^9(x) is -9csc^9(x)cot(x)