Which of the facts(s) is/are true for the first order derivative of a digital function?(a) Must be nonzero in the areas of constant grey values(b) Must be zero at the onset of a gray-level step or ramp discontinuities(c) Must be nonzero along the gray-level ramps(d) None of the mentionedI have been asked this question in semester exam.My doubt is from Sharpening Spatial Filters-2 topic in section Intensity Transformations and Spatial Filtering of Digital Image Processing

Which of the facts(s) is/are true for the first order derivative of a

1.	Which of the facts(s) is/are true for the first order derivative of a digital function?(a) Must be nonzero in the areas of constant grey values(b) Must be zero at the onset of a gray-level step or ramp discontinuities(c) Must be nonzero along the gray-level ramps(d) None of the mentionedI have been asked this question in semester exam.My doubt is from Sharpening Spatial Filters-2 topic in section Intensity Transformations and Spatial Filtering of Digital Image Processing
Answer» The correct choice is (c) Must be nonzero along the gray-level ramps The explanation: The FIRST order derivative of a digital FUNCTION is DEFINED as: Must be zero in the areas of constant grey values. Must be nonzero at the onset of a gray-level step or ramp DISCONTINUITIES. Must be nonzero along the gray-level ramps.

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