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 $45^{\circ}$ to the x-axis
• D. inclined at an angle $60^{\circ}$ to the x-axis

Answer 1

Answer: (A)

parallel to the x-axis

Answer 2

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.