As we know,
y = sin x could be plotted as From the figure, we can say Slope of OA > slope of OB.
Find the interval in which f (x) = 2x3 + 3x2 – 12x + 1 is increasing.
Find the interval in which f (x) = x3 – 3x2 – 9x + 20 is strictly increasing or strictly decreasing.
Find the interval of increase or decrease of the
The function f (x) = sin4 x + cos4 x increasing if:
Then f decreases in the interval
Find the interval for which f (x) = x – sin x is increasing or decreasing.
Where a is positive constant. Find the interval in which f’ (x) is increasing.
If a < 0, and f (x) = eax + e–ax is monotonically decreasing. Find the interval to which x belongs.
If f (x) = ax3 + bx2 + cx + d where a, b, c, d are real numbers and 3b2 < c2, is an increasing cubic function and g(x) = af’ (x) + bf’’ (x) + c2, then