What is the derivative of 3+1/5 sin(3pit) ?

The derivative of 3+1/5 sin(3pit) is (3pi)/5 cos(3pit)

What is the first derivative of 3+1/5 sin(3pit) ?

The first derivative of 3+1/5 sin(3pit) is (3pi)/5 cos(3pit)

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derivative of

3 + \frac{1}{5} sin (3 π t)

\frac{3 π}{5} cos (3 π t)

Solution steps

\frac{d}{d t} (3 + \frac{1}{5} 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}{5} sin (3 π t))

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

\frac{d}{d t} (\frac{1}{5} sin (3 π t)) = \frac{3 π}{5} cos (3 π t)

= 0 + \frac{3 π}{5} cos (3 π t)

Simplify

= \frac{3 π}{5} cos (3 π t)

ln (x + 1), 1

\frac{\partial}{\partial y} (x^{2} y cos (\frac{z}{t}))

y^{^{'}} - \frac{8}{x} y = (\frac{y}{x ^{6}})^{3}

- 5 x

y^{^{''}} + 6 y^{^{'}} + 13 y = 0

What is the derivative of 3+1/5 sin(3pit) ?
The derivative of 3+1/5 sin(3pit) is (3pi)/5 cos(3pit)
What is the first derivative of 3+1/5 sin(3pit) ?
The first derivative of 3+1/5 sin(3pit) is (3pi)/5 cos(3pit)