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

The answer to (\partial)/(\partial t)(e^{st}) is e^{st}s

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

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

e^{s t} s

Solution steps

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

Treat

s

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial t} (s t) = s

= e^{s t} s

\frac{d}{d x} (a x sin (x))

\frac{d y}{d x} = x y cos (x)

(\frac{d y}{d t}) - (\frac{3}{t}) \cdot y = 2 t^{3} e^{2 t}, y (1) = 0

f (x) = 7 x^{2} + 6 x

- 2 x^{2}, at x = - 2

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