What is (\partial)/(\partial x)(6x^2-sqrt(x)+2) ?

The answer to (\partial)/(\partial x)(6x^2-sqrt(x)+2) is 12x-1/(2sqrt(x))

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(\partial)/(\partial x)(6x^2-sqrt(x)+2)

\frac{\partial}{\partial x} (6 x^{2} - x + 2)

12 x - \frac{1}{2 x}

Solution steps

\frac{\partial}{\partial x} (6 x^{2} - x + 2)

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x^{2}) - \frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (2)

\frac{\partial}{\partial x} (6 x^{2}) = 12 x

\frac{\partial}{\partial x} (x) = \frac{1}{2 x}

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

= 12 x - \frac{1}{2 x} + 0

Simplify

= 12 x - \frac{1}{2 x}

- \frac{4}{x}

\int x^{2} e^{2 x} d x

x \to - 2 lim (3 x^{2} + 4 x - 3)

\int 20 x e^{0.01 x^{2}} d x

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

What is (\partial)/(\partial x)(6x^2-sqrt(x)+2) ?
The answer to (\partial)/(\partial x)(6x^2-sqrt(x)+2) is 12x-1/(2sqrt(x))