# Thread: My expression

1. ## My expression

For the following expression I am trying to find

a) dy/dx
b) d^2y/dx^2 [also denoted f" (x)]

y = 2x^3 + 6x^2 -9x + 10

Answers:

a) I have found 2x^2 + 4x - 3
Do I have to go further than this?

For part b I have no real clues

Thanks.

2. The answer for a) should be $f'(x) = 6x^2 + 12x - 9$.

For b), just take the derivative of f'(x).

3. brilliant thanks a lot!

What does the derivative mean though?

4. The derivative of a function $y = f(x)$ is $\frac{dy}{dx} = f'(x)$. Some notation you may also have seen is $\frac{d}{dx}f(x)$.

5. Originally Posted by IronMan
brilliant thanks a lot!

What does the derivative mean though?
it can also be seen as the slope of the original equation.