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

The answer to (\partial)/(\partial t)(e^{rt}) is e^{rt}r

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

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

e^{r t} r

Solution steps

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

Treat

r

as a constant

Apply the chain rule:

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

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

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

= e^{r t} r

\frac{d y}{d x} = \frac{( 4 sec ( y ) )}{( x + 5 ) ^{2}}

x \to 4 lim (\frac{5}{4 - x})

\int e^{\frac{1}{t}} d t

\frac{d}{d x} ((x^{2} + 3 x - 2)^{4})

x \to 0 lim (\frac{tan ( 6 x )}{sin ( 5 x )})

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