How do you use this notation?

If I have

$\displaystyle f(x)=x^3+5x^2+4$

How do you wright this?

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- Apr 8th 2010, 08:19 PMintegralLeibniz notation.
How do you use this notation?

If I have

$\displaystyle f(x)=x^3+5x^2+4$

How do you wright this? - Apr 8th 2010, 08:31 PMdwsmith
How do you write in Leibniz?

$\displaystyle \frac{dy}{dx}$ that means you have to take the derivative though. - Apr 9th 2010, 03:27 AMintegral
Yes, but how do I use it in terms of the equation?

$\displaystyle \frac{dy}{dx}x^3+5x^2+4$

and if I have the notation:

$\displaystyle \frac{d}{dx}$ Or $\displaystyle \frac{d}{dy}$ what does this mean?

? - Apr 9th 2010, 03:51 AMcoolxal
Since $\displaystyle f(x)=x^3+5x^2+4$, just make y = f(x) so y = $\displaystyle x^3+5x^2+4$.

dy/dx = f'(x).

dy/dx means derivative of y with respect to x.

d/dx is the derivative with respect to x. If you have $\displaystyle \frac{d}{dx}x^3+5x^2+4$ then you just take the derivative of that.

- Apr 9th 2010, 04:20 AMCaptainBlack