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

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

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

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

2 x

Solution steps

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

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

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

= 2 x + 0

Simplify

= 2 x

h (x) = 3 e^{x} - 7 x, (0, 3)

\frac{1}{2 s + 5}

x \to + 0 lim (cos^{2} (x))

x \to - \infty lim (- 3)

\frac{\partial}{\partial x} (\frac{4}{3} π (y^{3} - x^{3}))

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