- #1

- 7

- 0

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

- Thread starter VBoy336
- Start date

- #1

- 7

- 0

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

- #2

- 1,235

- 1

Use the power rule.

[tex] \frac{d}{dx} (2x^{2})^{-1} = -1(2x^{2})^{-2}(4x) = -\frac{1}{x^{3}} [/tex].

[tex] \frac{d}{dx} (3x^{3}) = 9x^{2} [/tex].

[tex] \frac{dy}{dx} = -\frac{1}{x^{3}} + 9x^{2} [/tex]

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