Question

f(x)=-5x^2+6x-5

How do I find the realative maxima and minima

Answer 1

Find derivative

Answer 2

10x-6=0

Answer 3

x=3/5

Answer 4

x=3/5 is my minima ?

Answer 5

f''(x)=-10 which is negative, so function has a relative maxima at x=3/5

Answer 6

its a parabola....a big bowl turned upside down :)

Answer 7

the maxima as at what is refered to as its vertex; the point where it turns around and heads back down again; the hgihest point

Answer 8

Refer to the attached plot.