What is (\partial)/(\partial y)(y+e^x) ?

The answer to (\partial)/(\partial y)(y+e^x) is 1

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(\partial)/(\partial y)(y+e^x)

\frac{\partial}{\partial y} (y + e^{x})

1

Solution steps

\frac{\partial}{\partial y} (y + e^{x})

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (y) + \frac{\partial}{\partial y} (e^{x})

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

\frac{\partial}{\partial y} (e^{x}) = 0

= 1 + 0

Simplify

= 1

n = 0 \sum \infty n (\frac{1}{4})^{n}

\int \frac{e ^{x}}{3 + 5 e ^{2 x}} d x

\frac{d}{d t} (cos (π t))

\frac{\partial}{\partial x} (x^{3} - 3 x y^{2} + y^{3})

n = 1 \sum \infty \frac{7}{n} - \frac{7}{n + 1}

What is (\partial)/(\partial y)(y+e^x) ?
The answer to (\partial)/(\partial y)(y+e^x) is 1