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If differentiation of any function is zero at any point and constant at other points then it means?
  • a)
    Function is parallel to x-axis at that point
  • b)
    Function is parallel to y-axis at that point
  • c)
    Function is constant
  • d)
    Function is discontinuous at that point
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If differentiation of any function is zero at any point and constant a...
Explanation:

Function is Parallel to x-axis at that Point:
- If the differentiation of a function is zero at a certain point, it means that the slope of the function at that point is zero.
- When the slope is zero, the function becomes parallel to the x-axis at that specific point.
- This implies that the function is neither increasing nor decreasing at that point, resulting in a horizontal tangent.
Therefore, if the differentiation of any function is zero at a particular point and constant at other points, it signifies that the function is parallel to the x-axis at that specific point.
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Community Answer
If differentiation of any function is zero at any point and constant a...
Since slope of a function is given by dydx at that point. Hence, when dydx = 0 means slope of a function is zero i.e, parallel to x axis.
Function is not a constant function since it has finite value at other points.
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If differentiation of any function is zero at any point and constant at other points then it means?a)Function is parallel to x-axis at that pointb)Function is parallel to y-axis at that pointc)Function is constantd)Function is discontinuous at that pointCorrect answer is option 'A'. Can you explain this answer?
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