What is (\partial)/(\partial r)(e^rsin(st)) ?

The answer to (\partial)/(\partial r)(e^rsin(st)) is sin(st)e^r

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(\partial)/(\partial r)(e^rsin(st))

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

sin (s t) e^{r}

Solution steps

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

Treat

s, t

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= sin (s t) e^{r}

\frac{1}{( 1 - 3 x ^{2} )}, x = 0.577

x \to 10 lim (+ (2 x))

(2 x^{3} + 2) (x^{4} - 3 x)

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

\frac{d}{d x} (a^{c o s (x)})

What is (\partial)/(\partial r)(e^rsin(st)) ?
The answer to (\partial)/(\partial r)(e^rsin(st)) is sin(st)e^r