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

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

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

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

3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (2) = 0

= 3 x^{2} + 0

Simplify

= 3 x^{2}

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

x^{2} 8 x - 7

(- 8, - 3), (- 24, 1)

\frac{\partial}{\partial x} (5 x^{4} y^{2} + x y^{3} + 4)

y^{^{''}} + 3 y^{^{'}} + 2 y = sin (e^{x})

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