What is the derivative of xcsc(x) ?

The derivative of xcsc(x) is csc(x)-xcot(x)csc(x)

What is the first derivative of xcsc(x) ?

The first derivative of xcsc(x) is csc(x)-xcot(x)csc(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} (x csc (x))

csc (x) - x cot (x) csc (x)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = csc (x)

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

\frac{d x}{d x} = 1

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

= 1 \cdot csc (x) + (- cot (x) csc (x)) x

Simplify

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

x^{3} + 2 x

\int 9 sin (x) cos (x) d x

(2 e^{y} - x) y^{^{'}} = 1

\int \frac{x ^{2}}{( 225 + x ^{2} ) ^{2}} d x

\int \frac{1 + x}{x - 2 x + 2 x ^{2}} d x

What is the derivative of xcsc(x) ?
The derivative of xcsc(x) is csc(x)-xcot(x)csc(x)
What is the first derivative of xcsc(x) ?
The first derivative of xcsc(x) is csc(x)-xcot(x)csc(x)