Find the interval of increase or decrease of the
Increasing & Decreasing
Differentiating both sides we have
Using number line rule as shown in figure,
Hence f (x) is increasing, when and f (x) is decreasing, when
a minimum at x= 1 is the value of a is
Assuming that be petrol burnt in a motor boat varies as the cube of its velocity, the most economical speed when going against a current of ckm/hr is
Let f (x) be a function such that f’(a) ≠ 0. Then at x = α ; f (x)
The minimum value of
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.
The function f (x) = sin4 x + cos4 x increasing if: