en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3csc(x+7cos(x))

Solution

\frac{d}{d x} (3 csc (x) + 7 cos (x))

Solution

- 3 cot (x) csc (x) - 7 sin (x)

Solution steps

\frac{d}{d x} (3 csc (x) + 7 cos (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 csc (x)) + \frac{d}{d x} (7 cos (x))

\frac{d}{d x} (3 csc (x)) = - 3 cot (x) csc (x)

\frac{d}{d x} (7 cos (x)) = - 7 sin (x)

= - 3 cot (x) csc (x) - 7 sin (x)

Popular Examples

derivative of (x+1/(x+1))

\frac{d}{d x} (\frac{x + 1}{x + 1})

(\partial)/(\partial z)(9e^xcos(yz))

\frac{\partial}{\partial z} (9 e^{x} cos (yz))

f(x)=x^3sqrt(2x+1)

f (x) = x^{3} 2 x + 1

integral from 1 to 100 of 3/(x^3)

\int_{1}^{100} \frac{3}{x ^{3}} d x

limit as x approaches 6 of x^{-1}

x \to 6 lim (x^{- 1})

Frequently Asked Questions (FAQ)

What is the derivative of 3csc(x+7cos(x)) ?
The derivative of 3csc(x+7cos(x)) is -3cot(x)csc(x)-7sin(x)
What is the first derivative of 3csc(x+7cos(x)) ?
The first derivative of 3csc(x+7cos(x)) is -3cot(x)csc(x)-7sin(x)