Solving Derivative of f(x) = 1/2x^2 + 3x^3 - Is My Answer Correct?

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VBoy336
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I'm having problem

finding derivative:
f(x) = 1/2x^2 + 3x^3

i know there is a shortcut way to derivative, but i did the long way and got

9x^2 - x

is that correct? if not, can you tell me the step to solve it? thanks
 
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If you're trying to find the derivative, you use the power rule by bringing down the power and then taking the power that the variable was raised to and subtracting one...I hope that makes sense...