1.

If f^(11)(x)lt0(gt0) on an interval (a,b) then the curve y=f(x) on this interval is convex (concave) i.e it is below (above) any of its tangent lines If f^(11)(x_(0))=0 or does not exist and the second derivative changes sign when passing through the point x_(0) then the point (x_(0),f(x))is the = point of inflection of the curve y=f(x) If y=x^(4)+x^(3)-18x^(2)+24x-12 then

Answer»

`(-2,-24)` is a point of inflection
`(-2,3//2)` is a point of inflection
`((3)/(2),-8(1)/(16))` is a point of inflection
y is convex on `((3)/(2),oo)`

ANSWER :C


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