en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3+1/4 sin(3pit)

Solution

derivative of

3 + \frac{1}{4} sin (3 π t)

Solution

\frac{3 π}{4} cos (3 π t)

Solution steps

\frac{d}{d t} (3 + \frac{1}{4} sin (3 π t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3) + \frac{d}{d t} (\frac{1}{4} sin (3 π t))

\frac{d}{d t} (3) = 0

\frac{d}{d t} (\frac{1}{4} sin (3 π t)) = \frac{3 π}{4} cos (3 π t)

= 0 + \frac{3 π}{4} cos (3 π t)

Simplify

= \frac{3 π}{4} cos (3 π t)

Popular Examples

(\partial)/(\partial y)(ysin(xy))

\frac{\partial}{\partial y} (y sin (x y))

integral of x^2sqrt(x^3+21)

\int x^{2} x^{3} + 21 d x

integral of+(x^2)/((225+x^2)^2)

\int + \frac{x ^{2}}{( 225 + x ^{2} ) ^{2}} d x

limit as x approaches 0 of ((3^x-4^x))/x

x \to 0 lim (\frac{( 3 ^{x} - 4 ^{x} )}{x})

maclaurin e^{9x}maclaurin

e^{9 x}

Frequently Asked Questions (FAQ)

What is the derivative of 3+1/4 sin(3pit) ?
The derivative of 3+1/4 sin(3pit) is (3pi)/4 cos(3pit)
What is the first derivative of 3+1/4 sin(3pit) ?
The first derivative of 3+1/4 sin(3pit) is (3pi)/4 cos(3pit)