en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sin(x)+5/8 cot(x)

Solution

derivative of

sin (x) + \frac{5}{8} cot (x)

Solution

cos (x) - \frac{5}{8} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{5}{8} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{5}{8} cot (x))

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

\frac{d}{d x} (\frac{5}{8} cot (x)) = - \frac{5}{8} csc^{2} (x)

= cos (x) - \frac{5}{8} csc^{2} (x)

Popular Examples

limit as x approaches-6 of x^2-1

x \to - 6 lim (x^{2} - 1)

sum from n=1 to infinity of 1/(e^{2n)}

n = 1 \sum \infty \frac{1}{e ^{2 n}}

(12-20y+e^{-5x})dx-4dy=0

(12 - 20 y + e^{- 5 x}) d x - 4 d y = 0

integral of 8x^{1/3}+8x^{-1/3}

\int 8 x^{\frac{1}{3}} + 8 x^{- \frac{1}{3}} d x

integral from 0 to 2 of ln(2x)

\int_{0}^{2} ln (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(x)+5/8 cot(x) ?
The derivative of sin(x)+5/8 cot(x) is cos(x)-5/8 csc^2(x)
What is the first derivative of sin(x)+5/8 cot(x) ?
The first derivative of sin(x)+5/8 cot(x) is cos(x)-5/8 csc^2(x)