What is the d/(dt)(sin^2(pit)) ?

The d/(dt)(sin^2(pit)) is pisin(2pit)

What is the first d/(dt)(sin^2(pit)) ?

The first d/(dt)(sin^2(pit)) is pisin(2pit)

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\frac{d}{d t} (sin^{2} (π t))

π sin (2 π t)

Solution steps

\frac{d}{d t} (sin^{2} (π t))

Apply the chain rule:

2 sin (π t) \frac{d}{d t} (sin (π t))

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

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

= 2 sin (π t) cos (π t) π

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= π sin (2 π t)

\frac{d}{d x} (\frac{1}{x ^{2} + y ^{2} + z ^{2}})

\frac{\partial}{\partial x} (x e^{x^{2} y})

\frac{- 40}{x ^{7}}

x \to 1 + lim (x^{\frac{1}{( 1 - x )}})

x \to - \infty lim (x^{2} e^{x})

What is the d/(dt)(sin^2(pit)) ?
The d/(dt)(sin^2(pit)) is pisin(2pit)
What is the first d/(dt)(sin^2(pit)) ?
The first d/(dt)(sin^2(pit)) is pisin(2pit)