en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 11+1/5 sin(11pit)

Solution

derivative of

11 + \frac{1}{5} sin (11 π t)

Solution

\frac{11 π}{5} cos (11 π t)

Solution steps

\frac{d}{d t} (11 + \frac{1}{5} sin (11 π t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (11) + \frac{d}{d t} (\frac{1}{5} sin (11 π t))

\frac{d}{d t} (11) = 0

\frac{d}{d t} (\frac{1}{5} sin (11 π t)) = \frac{11 π}{5} cos (11 π t)

= 0 + \frac{11 π}{5} cos (11 π t)

Simplify

= \frac{11 π}{5} cos (11 π t)

Popular Examples

integral of 3x^2sqrt(x^3+1)

\int 3 x^{2} x^{3} + 1 d x

integral of (sin(x)-8cos(x))

\int (sin (x) - 8 cos (x)) d x

integral from 0 to 1 of 4x^3e^{x^4}

\int_{0}^{1} 4 x^{3} e^{x^{4}} d x

xsqrt(1-y^2)dx+ysqrt(1+x^2)dy=0

x 1 - y^{2} d x + y 1 + x^{2} d y = 0

integral from 0 to 1 of 1/(x^2-3)

\int_{0}^{1} \frac{1}{x ^{2} - 3} d x

Frequently Asked Questions (FAQ)

What is the derivative of 11+1/5 sin(11pit) ?
The derivative of 11+1/5 sin(11pit) is (11pi)/5 cos(11pit)
What is the first derivative of 11+1/5 sin(11pit) ?
The first derivative of 11+1/5 sin(11pit) is (11pi)/5 cos(11pit)