Question

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

• A. parallel to the x-axis
• B. perpendicular to the x-axis
• C. inclined at an angle 45^∘ to the x-axis
• D. inclined at an angle 60^∘ to the x-axis

Hint:

Maxima and minima occur where slope equals zero.

Answer 1

The Correct Option is A

Step 1: At an extreme point, f'(x)=0.
Step 2: Zero slope means tangent is parallel to the x-axis.