Prove, using the second derivative, that the general quadratic y= ax^2+bx+c, is:
1 answer:
There are three things you have to know:
- A function is convex when its second derivative

- A function is concave when it second derivative

- The derivative of a power,
, is 
So, the first derivative is

and the second derivative is

This implies that the second derivative of a parabola is constant, and of course that 2 doesn't change the sign of
.
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