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BITSAT2016MathematicsApplication of DerivativesActual

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

Options

  1. Aparallel to the x -axis
  2. Bperpendicular to the x -axis
  3. Cinclined at an angle 45^ to the x -axis
  4. Dinclined at an angle 60^ to the x -axis

Correct answer

A. parallel to the x -axis

Step-by-step solution

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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