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## Homework Statement

I promise this will be my last one :p

For this function: [tex]f(x)=-4x^{3}+\frac{3}{x}+\sqrt{x}-2[/tex]

What would be the derivative using the power rule?

## Homework Equations

[tex]f(x)=-4x^{3}+\frac{3}{x}+\sqrt{x}-2[/tex]

## The Attempt at a Solution

[tex]f'(x)=-12x^{2}-3x^{-2}-\frac{\sqrt{x}}{2}[/tex]

However, this is wrong. Why?