Question:

At an extreme point of a function f(x), the tangent to the curve is

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Maxima and minima occur where slope of tangent is zero.
Updated On: Mar 19, 2026
  • parallel to the x-axis
  • perpendicular to the x-axis
  • inclined at an angle 45^∘ to the x-axis
  • inclined at an angle 60^∘ to the x-axis
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The Correct Option is A

Solution and Explanation

At an extreme point, f'(x)=0 Hence, the slope of the tangent is zero, so it is parallel to the x-axis.
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