Question

If differentiation of any function is zero at any point and constant at other points then it means?

(a) Function is parallel to x-axis at that point

(b) Function is parallel to y-axis at that point

(c) Function is constant

(d) Function is discontinuous at that point

The question was posed to me during a job interview.

The query is from Improper Integrals topic in chapter Integral Calculus of Engineering Mathematics

Answer 1

The correct option is (a) Function is parallel to x-axis at that point

To explain: Since slope of a function is given by ^dy⁄dx at that point. Hence, when ^dy⁄dx = 0 means slope of a function is zero i.e, parallel to x axis.

Function is not a constant function since it has finite value at other points.