For a point of inflection of y = f(x) , which one of the following is correct? - Mathematics MCQ Mathematics Mock Test - 3 2026 | ExamTest.live

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For a point of inflection of y = f (x), which one of the following is correct?

Solution & Step-by-step Explanation

A point of inflection is a point on a curve at which the concavity changes (from concave up to concave down or vice versa).This occurs where the second derivative \frac{d ^{2} y}{d x ^{2}} is zero or undefined, and changes sign.

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For a point of inflection of y = f (x), which one of the following is correct?

\frac{d y}{d x} must be zero

\frac{d ^{2} y}{d x ^{2}} must be zero

\frac{d y}{d x} must be non-zero

\frac{d ^{2} y}{d x ^{2}} must be non-zero

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