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

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

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(\partial)/(\partial y)(y+e^{sqrt(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

x \to 3 lim (5 - 2 x + x^{2})

\frac{1}{( s ^{2} + 8 s + 15 )}

\frac{\partial}{\partial x} (2 x + 6)

x \to 0 + lim (\frac{( 1 + x ) ^{\frac{1}{x}}}{e})^{\frac{1}{x}}

f (x) = 3 x sin (2 x)

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