Application of DerivativeHard
Question
If x1 and x2 are abscissa of two points on the curve f(x) = x - x2 in the interval [0, 1], then maximum value of the expression (x1 + x2) - (x12 + x22) is
Options
A.1/2
B.1/4
C.1
D.2
Solution
Maximum of f(x) is 1/4
Given expression is f(x1) + f(x2)
⇒ f(x1) ≤ 1/4 ⇒ f(x2) ≤ 1/4 ⇒ f(x1) + f(x2) ≤ 1/2
Given expression is f(x1) + f(x2)
⇒ f(x1) ≤ 1/4 ⇒ f(x2) ≤ 1/4 ⇒ f(x1) + f(x2) ≤ 1/2
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The side of a square sheet is increasing at the rate of 4 cm per minute. The rate by which the area increasing when the ...If tangent to a curve at a point is perpendicular to x-axis, then at that point-...If normal to the curve y = f(x) at a point makes 135o angle with x-axis, then at that point equals-...If at any point (x1, y1) on the curve the subtangent and subnormal are equal, then the length of tangent is equal to-...If f(x) is differentiable in the interval [2, 5], where f(2) = and f(5) = , then there exists a number c, 2 < c < ...