Question

If a function and value are given, approximate the limit of the difference quotient is:

A) Slope of the tangent line
B) Area under the curve
C) Derivative at the point
D) Rate of change

Answer 1

The limit of the difference quotient is 'Derivative at the point'. The derivative at a point gives the instantaneous rate of change or the slope of the tangent line to the curve at that point.

Step-by-step explanation:

The limit of the difference quotient is C) Derivative at the point. The difference quotient represents the rate of change of a function as the difference between two points on the function approaches zero. The derivative at a point gives the instantaneous rate of change or the slope of the tangent line to the curve at that point.