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Question: Answered & Verified by Expert
At an extreme point of a function $f(x),$ the tangent to the curve is
MathematicsApplication of DerivativesBITSATBITSAT 2016
Options:
  • A parallel to the $\mathrm{x}$ -axis
  • B perpendicular to the $\mathrm{x}$ -axis
  • C inclined at an angle $45^{\circ}$ to the $\mathrm{x}$ -axis
  • D inclined at an angle $60^{\circ}$ to the $x$ -axis
Solution:
1816 Upvotes Verified Answer
The correct answer is: parallel to the $\mathrm{x}$ -axis
At an extreme point of a function $f(x)$, slope is always zero. Thus, At an extreme point of a function $f(x)$, the tangent to the curve is parallel to the x-axis.

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