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2 Answers
- 6 years ago
vertex is the highest or the lowest point of a curve.so the derivative gives the rate of change of that point. or the slope.
d(M[x])/dx = -6x+12
at the lowest or the highest point the slope is 0, hence
d(M[x])/dx = 0
-6x +12 = 0 ; 6x = 12 hence x=2
to get the "y" ordinate we simply subsitute this "x" value for the given curve equation,
y = -3(2)^2 +12*(2) - 7
y = -12 +24-7
y = 5
hence the point is (2,5)
