What is (\partial)/(\partial x)(x^2+1+z^3) ?

The answer to (\partial)/(\partial x)(x^2+1+z^3) is 2x

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(\partial)/(\partial x)(x^2+1+z^3)

\frac{\partial}{\partial x} (x^{2} + 1 + z^{3})

2 x

Solution steps

\frac{\partial}{\partial x} (x^{2} + 1 + z^{3})

Treat

z

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (z^{3})

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

\frac{\partial}{\partial x} (1) = 0

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

= 2 x + 0 + 0

Simplify

= 2 x

(\frac{5}{8}, - 2), (- \frac{1}{4}, - \frac{1}{4})

y^{2} - x y - 10 = 0, (- 3, - 5)

y^{^{''}} + 6 y = - 294 x^{2} e^{6 x}

\int_{1}^{e^{5}} \frac{ln ( x )}{x ^{2}} d x

\frac{d}{d x} (- 4 x^{3})

What is (\partial)/(\partial x)(x^2+1+z^3) ?
The answer to (\partial)/(\partial x)(x^2+1+z^3) is 2x