What is (\partial)/(\partial t)(e^{pit}) ?

The answer to (\partial)/(\partial t)(e^{pit}) is e^{pit}pi

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(\partial)/(\partial t)(e^{pit})

\frac{\partial}{\partial t} (e^{π t})

e^{π t} π

Solution steps

\frac{\partial}{\partial t} (e^{π t})

Apply the chain rule:

e^{π t} \frac{\partial}{\partial t} (π t)

= e^{π t} \frac{\partial}{\partial t} (π t)

\frac{\partial}{\partial t} (π t) = π

= e^{π t} π

n = 1 \sum \infty \frac{n + 1}{n + 2}

x \to 4 lim (\frac{x - 2}{x})

\frac{d}{d t} (s t)

\frac{d}{d x} ((3 x - 1)^{5} (1 - 3 x)^{4})

\int \frac{x ^{2}}{1 - 4 x ^{2}} d x

What is (\partial)/(\partial t)(e^{pit}) ?
The answer to (\partial)/(\partial t)(e^{pit}) is e^{pit}pi