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

The derivative of 2cot(x)csc^2(x) is 4csc^2(x)-6csc^4(x)

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

The first derivative of 2cot(x)csc^2(x) is 4csc^2(x)-6csc^4(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^{2} (x)

4 csc^{2} (x) - 6 csc^{4} (x)

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

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

f = cot (x), g = csc^{2} (x)

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

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

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

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

Simplify

2 ((- csc^{2} (x)) csc^{2} (x) + (- 2 csc^{2} (x) cot (x)) cot (x)) : 4 csc^{2} (x) - 6 csc^{4} (x)

= 4 csc^{2} (x) - 6 csc^{4} (x)

700 e^{x}

5 x^{2} + 6 x - 1

ln (2 x) \cdot x^{2}

4^{c o s h (x)}

3 x^{4} + 5

What is the derivative of 2cot(x)csc^2(x) ?
The derivative of 2cot(x)csc^2(x) is 4csc^2(x)-6csc^4(x)
What is the first derivative of 2cot(x)csc^2(x) ?
The first derivative of 2cot(x)csc^2(x) is 4csc^2(x)-6csc^4(x)