Question

Choose the correct option.

• A. Derivative of constant is alwayas Zero.
• B. Tangent is the limiting case of secent which intersects the curve at two infinitesimally close points.
• C. Slope is defined as the ratio of the verticle change between two points, to the horizontal change between the same two points.
• D. All of the above

Answer 1

The correct option is D All of the above

Derivative of constant is always zero as for a constant function $f\left(x\right)$, there is no change in $y$ w.r.t $x$.
Tangent is the limiting case of secent which intersects the curve at two infinitesimally close points.
Slope is defined as the ratio of the verticle change between two points, to the horizontal change between the same two points i.e. $m=\frac{\Delta y}{\Delta x}$