What is (\partial)/(\partial x)(x^2+2y^3) ?

The answer to (\partial)/(\partial x)(x^2+2y^3) is 2x

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(\partial)/(\partial x)(x^2+2y^3)

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

2 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (x^{2}) = 2 x

\frac{\partial}{\partial x} (2 y^{3}) = 0

= 2 x + 0

Simplify

= 2 x

\frac{d y}{d x} = \frac{( y ^{2} + 2 x x ^{2} + y ^{2} )}{x y}

\frac{s}{s ^{2} + 7 s + 2}

\int 3 cos (\frac{x}{3}) d x

\frac{d}{d x} (4 x e^{4 x})

x \to 0 - lim (x^{2} - \frac{7}{x})

What is (\partial)/(\partial x)(x^2+2y^3) ?
The answer to (\partial)/(\partial x)(x^2+2y^3) is 2x