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

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

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(\partial)/(\partial s)(e^{s+t})

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

e^{s + 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) = 1

= e^{s + t} \cdot 1

Simplify

= e^{s + t}

\frac{\partial}{\partial x} (5 \cdot (y - 3)^{3} \cdot (x - 6))

\frac{\partial}{\partial y} (x^{8 y})

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\frac{\partial}{\partial x} (x^{2} - y)

\frac{\partial}{\partial x} (7 - e^{x yz})

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