Find the coordinates of the maximum point on the curve y = -2xsquared + 6x + 3. Explain how you know it is a maximum?
f'(x) = -4 x + 6
so maximum point is when f'(x) = 0 so
-4x + 6 = 0
-4 x = -6
x = 1.5
Sustituing we get
y = 7.5
so (1.5, 7.5) is this correct?
How can I garanty it being the maximum point though?