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Popular >

derivative of 6+1/5 sin(6pit)

Solution

derivative of

6 + \frac{1}{5} sin (6 π t)

Solution

\frac{6 π}{5} cos (6 π t)

Solution steps

\frac{d}{d t} (6 + \frac{1}{5} sin (6 π t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (6) + \frac{d}{d t} (\frac{1}{5} sin (6 π t))

\frac{d}{d t} (6) = 0

\frac{d}{d t} (\frac{1}{5} sin (6 π t)) = \frac{6 π}{5} cos (6 π t)

= 0 + \frac{6 π}{5} cos (6 π t)

Simplify

= \frac{6 π}{5} cos (6 π t)

Popular Examples

limit as x approaches 0 of (1+3x)^{2/x}

x \to 0 lim ((1 + 3 x)^{\frac{2}{x}})

integral of (x^3)/(sqrt(x^2+144))

\int \frac{x ^{3}}{x ^{2} + 144} d x

(\partial)/(\partial x)(ln(2x^2))

\frac{\partial}{\partial x} (ln (2 x^{2}))

derivative of ((x^3)/3)

\frac{d}{d x} (\frac{( x ^{3} )}{3})

integral of v/(g-kv^2)

\int \frac{v}{g - k v ^{2}} d v

Frequently Asked Questions (FAQ)

What is the derivative of 6+1/5 sin(6pit) ?
The derivative of 6+1/5 sin(6pit) is (6pi)/5 cos(6pit)
What is the first derivative of 6+1/5 sin(6pit) ?
The first derivative of 6+1/5 sin(6pit) is (6pi)/5 cos(6pit)