Home › TS EAPCET (Engineering) › Mathematics › Application of Derivatives › For positive x, what is the least value of x + 1…
For positive x, what is the least value of x + 1/x?
A4
B1
C1/2
D2
Answer & Solution
Correct answer: D. 2
Setting 1 - 1/x² = 0 gives x = 1, and the value there is 2, a minimum since the second derivative 2/x³ is positive.
Related questions
The function f(x) = |x - 2| has its minimum at x = 2, where its derivativeAmong rectangles of area 100 cm^2, the least possible perimeter isThe largest area of a rectangle that can be inscribed in a circle of radius r isFor y = x^2, x changes from 10 to 10.1. The differential dy isUsing differentials, the approximate value of √25.1 isOn the interval (0, π), the function cos x isThe curve y = ln x on (0, infinity) isThe point of inflection of f(x) = x^3 - 6x^2 + 9x lies at x equal to