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

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SUMMARY

The derivative of the function f(x) = 1/2x^2 + 3x^3 is calculated using the power rule. The correct derivative is f'(x) = 3x^2 + 9x^2, which simplifies to f'(x) = 12x^2. The user initially calculated 9x^2 - x, which is incorrect. The discussion emphasizes the importance of applying the power rule correctly to derive polynomial functions.

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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...
 
ok thanks a lot,
 

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