Application of DerivativeHard
Question
Let f(x) = 
the set of values of b for which f(x) has greatest value at x = 1 is given by :
the set of values of b for which f(x) has greatest value at x = 1 is given by :Options
A.1 ≤ b ≤ 2
B.b = {1, 2}
C.b ∈ (- ∞, - 1)
D.
Solution
f(1-) ≤ f(1) and f(1+) ≤ f(1)
- 2 + log2 (b2 - 2) ≤ 5
0 < b2 - 2 ≤ 128 2 < b2 ≤ 130
- 2 + log2 (b2 - 2) ≤ 5
0 < b2 - 2 ≤ 128 2 < b2 ≤ 130
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
Let f and g be two differentiable functions defined on an interval I such that f(x) ≥ 0 and g(x) ≤ 0 for all...If the tangent to the curve 2y3 = ax2 + x3 at a point (a, a) cuts off intercepts p and q on the coordinates axes, where ...The equation of tangent to the curve √x + √y = √a at the point (x1, y1) is-...The point (s) on the curve y3 + 3x2 = 12y where the tangent is vertical, is (are)...A 2μF capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch ...