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

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

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

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

e^{x}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + e^{x}

Simplify

= e^{x}

\int_{0}^{1} \frac{2 x}{1 + x ^{4}} d x

f (x) = \frac{- 4 x}{x ^{2} + 1}, at x = 0

x \to 3 lim (\frac{x ^{2} - 6}{x - 3})

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

ln (1 + 2 \cdot t), 2

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