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

The derivative of-2cot(x)csc(x) is -2(csc(x)-2csc^3(x))

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

The first derivative of-2cot(x)csc(x) is -2(csc(x)-2csc^3(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

- 2 cot (x) csc (x)

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

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

f = cot (x), g = csc (x)

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

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

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

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

Simplify

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

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

x \to 2 π lim (\frac{1}{sin ( x )})

sin (2 x)

\frac{d}{d x} (\frac{x ^{4} - 4 x + 3}{x + 1})

(y)^{^{'}}

\int_{x}^{x^{2}} t^{2} d t

What is the derivative of-2cot(x)csc(x) ?
The derivative of-2cot(x)csc(x) is -2(csc(x)-2csc^3(x))
What is the first derivative of-2cot(x)csc(x) ?
The first derivative of-2cot(x)csc(x) is -2(csc(x)-2csc^3(x))