What is (\partial)/(\partial x)(x+y^3) ?

The answer to (\partial)/(\partial x)(x+y^3) is 1

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(\partial)/(\partial x)(x+y^3)

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (y^{3}) = 0

= 1 + 0

Simplify

= 1

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

y e^{x y} d x + x e^{x y} d y = 0

\frac{d}{d x} (\frac{a}{b x ^{2}})

2 x

\frac{( s - 10 )}{( s ^{2} - 2 s - 3 )}

What is (\partial)/(\partial x)(x+y^3) ?
The answer to (\partial)/(\partial x)(x+y^3) is 1