Asked by anabelle
here is the question:
determine the minimum gradient of the curve y=2^3 - 9x^2 + 5
when they say the minimum gradient, does that mean the minimum value of d^2y/dx^2?
how do i do this??
determine the minimum gradient of the curve y=2^3 - 9x^2 + 5
when they say the minimum gradient, does that mean the minimum value of d^2y/dx^2?
how do i do this??
Answers
Answered by
Writeacher
Bailey, Andrea, Danny, Riley, anabelle, holly, LILLY, zachary, I'm stumped -- or whoever!
Please post under one name. There's no reason to post under several.
Please post under one name. There's no reason to post under several.
Answered by
drwls
They want the minimum value of dy/dx. That would be where the second derivative is zero, but you have to test that it isn't a maximum.
You seem to have mistyped the function, which probably should be
y(x) = 2x^3 -9x^2 +5
dy/dx = 6x^2 -18x
d^2y/dx^2 = 12x -18
That = 0 when x = 3/2
Since the third derivative is positive, x = 3/2 is a minimum gradient location
You seem to have mistyped the function, which probably should be
y(x) = 2x^3 -9x^2 +5
dy/dx = 6x^2 -18x
d^2y/dx^2 = 12x -18
That = 0 when x = 3/2
Since the third derivative is positive, x = 3/2 is a minimum gradient location
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