Loading the lesson
Loading the lesson
Search AllRounder.ai
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Search the courses, subjects, tracks, games and features, or jump straight to a page.
5 cards from this section. Quick, good the night before a test.
Find the intervals in which f(x) = x² − 4x + 7 is increasing or decreasing.
Solve 2x − 4 = 0 and test one value on each side.
Show that f(x) = 3x + 17 is increasing on R.
The derivative of a linear function is a constant.
If f′(x) = (x − 3)(x + 1), on which interval is f decreasing?
Find the interval where exactly one factor is negative.
Which of these functions is increasing on the whole real line?
Look for a derivative that can never be negative.
Find the least value of a such that f(x) = x² + ax + 1 is increasing on the interval (1, 2).
Find the smallest value that 2x takes near the left end of the interval.
Find the intervals in which f(x) = sin x − cos x, 0 ≤ x ≤ 2π, is increasing or decreasing.
Solve cos x + sin x = 0 by dividing by cos x, and remember that tan x is negative in the second and fourth quadrants.
6 more questions in this section. Enroll free to practise them all.
Enroll free