Question

The derivative value is same at all the points on a straight line.

• A. True
• B. False

Answer 1

The correct option is A True


If you carefully look on this straight line the rate of change of y with respect x is same at all the points. So the derivative which is nothing but the rate of change of y with respect to x is same for all points on the line. Also derivative is nothing but the slope of the tangent at a point on the curve. For a straight line the tangent at every point will be the same and it coincides with the given line itself. Hence the slope of the tangent at every point on the straight line is same.This means that derivative remains constant.