My second derivative is 24x+36 and one of my inflection points is -1.5. How do I find the other inflection point?
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If the second derivative is 24x+36, then there is an inflection point somewhere along the vertical line of x = -1.5. Now you need the y value in order to know the actual coordinate of the inflection point. Just plug in -1.5 for x in the original function, or f(x). That will give you the missing y value.
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There is no second point of inflection there is only the one point of inflection at x=-1.5
Why:
24x+36 is the second derivative of the original equation 4x^3+18x^2
and in finding the point of inflection for the graph of an equation you must finds the equations second derivative and set that equal to 0
so to find the point of inflections you make 24x+36=0 and solve for x which is where you get the point of inflection at x equals-1.5
Why:
24x+36 is the second derivative of the original equation 4x^3+18x^2
and in finding the point of inflection for the graph of an equation you must finds the equations second derivative and set that equal to 0
so to find the point of inflections you make 24x+36=0 and solve for x which is where you get the point of inflection at x equals-1.5