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BITSAT 2016
Exam
BITSAT
Year
2016
Subject
Mathematics
Chapter
Application of Derivatives

BITSAT 2016 · Mathematics · Application of Derivatives

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

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

Options

  1. Aparallel to the x\mathrm{x} -axis
  2. Bperpendicular to the x\mathrm{x} -axis
  3. Cinclined at an angle 45∘45^{{}^{\circ}} to the x\mathrm{x} -axis
  4. Dinclined at an angle 60∘60^{{}^{\circ}} to the xx -axis

Correct answer

A. parallel to the x\mathrm{x} -axis

Step-by-step solution

At an extreme point of a function f(x)f(x), slope is always zero. Thus, At an extreme point of a function f(x)f(x), the tangent to the curve is parallel to the x-axis.
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