Question

Increasing and decreasing functions 2 study material

Answer 1

Answer:

Find the intervals of increase and decrease of the function f(x) = x3 − 3x + 2. Solution: f(x) = x3 − 3x + 2. Now we have to check the sign of first derivative in every interval to find the function is increasing or decreasing.

Answer 2

Explanation:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on it.