What is (\partial)/(\partial r)(re^s) ?

The answer to (\partial)/(\partial r)(re^s) is e^s

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(\partial)/(\partial r)(re^s)

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

e^{s}

Solution steps

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

Treat

s

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial r} (r) = 1

= e^{s} \cdot 1

Simplify

= e^{s}

\int \frac{4 x ^{3} - x ^{2} + 4 x + 2}{( x ^{2} + 1 ) ^{2}} d x

x \to 6 - lim (\frac{1}{( x - 6 ) ^{2}})

x \to 1 lim (2 x + 4)

e^{- 2 x^{2}}

(2.3) (2.8)

What is (\partial)/(\partial r)(re^s) ?
The answer to (\partial)/(\partial r)(re^s) is e^s