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

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

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

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

e^{s t} t

Solution steps

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

Treat

t

as a constant

Apply the chain rule:

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

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

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

= e^{s t} t

\int (2 sin (x) - 3 cos (x) + \frac{1}{2}) d x

\int csc^{2} (t) d t

\frac{2}{( s + 3 ) ^{2} - 9}

\int csc^{2} (5 y) d y

y = \frac{1}{x}, y = \frac{1}{x ^{2}}, x = 3

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