en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of csc(x)cot(x)

Solution

derivative of

csc (x) cot (x)

Solution

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

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

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

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

Popular Examples

derivative of y=(sin(3x))^{ln(x)}derivative of

y = (sin (3 x))^{l n (x)}

(\partial)/(\partial y)(ln(y^x))

\frac{\partial}{\partial y} (ln (y^{x}))

limit as t approaches-5 of t^2-5

t \to - 5 lim (t^{2} - 5)

tangent of y=6xsin(x),(pi/2 ,3pi)tangent of

y = 6 x sin (x), (\frac{π}{2}, 3 π)

inverse oflaplace (e^{-7s})/((s-3)^3)inverse laplace

\frac{e ^{- 7 s}}{( s - 3 ) ^{3}}

Frequently Asked Questions (FAQ)

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