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=xsin(logx) then

Answer»

y has only teo points of inflection
y has only 4 points of inflection
`(PI)/(4)` is the only POINT of inflection
y has INFINITE number of points of inflection

Answer :D


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