What is the d/(dt)(12t-40pisin(pit)) ?

The d/(dt)(12t-40pisin(pit)) is 12-40pi^2cos(pit)

What is the first d/(dt)(12t-40pisin(pit)) ?

The first d/(dt)(12t-40pisin(pit)) is 12-40pi^2cos(pit)

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\frac{d}{d t} (12 t - 40 π sin (π t))

12 - 40 π^{2} cos (π t)

Solution steps

\frac{d}{d t} (12 t - 40 π sin (π t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (12 t) - \frac{d}{d t} (40 π sin (π t))

\frac{d}{d t} (12 t) = 12

\frac{d}{d t} (40 π sin (π t)) = 40 π^{2} cos (π t)

= 12 - 40 π^{2} cos (π t)

\int_{0}^{8 π} t^{2} sin (2 t) d t

\int a x + b d x

\int \frac{e ^{x} ( x - 1 ) - e ^{x}}{( x - 1 ) ^{2}} d x

tan (\frac{1}{x})

\frac{1}{2 - x}, 1

What is the d/(dt)(12t-40pisin(pit)) ?
The d/(dt)(12t-40pisin(pit)) is 12-40pi^2cos(pit)
What is the first d/(dt)(12t-40pisin(pit)) ?
The first d/(dt)(12t-40pisin(pit)) is 12-40pi^2cos(pit)