Show that f(x) = (x - (1)/(x)) is increa...

Show that `f(x) = (x - (1)/(x))` is increasing for all `x in R, x ne 0`.

APPLICATION OF DERIVATIVES
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (SHORT ANSWER TYPE QUESTIONS )|30 Videos
APPLICATION OF DERIVATIVES
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|6 Videos
APPLICATION OF DERIVATIVES
ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (E))|20 Videos
AREA UNDER PLANE CURVES
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Show that f(x) = x - sin x is increasing for all x in R .

Prove that f(x) = (3)/(x) + 7 is strictly decreasing for x in R, (x ne 0) .

Show that f(x) = 3x + 5 is a strictly increasing function on R.

Show that f(x) = e^(1//x) is a strictly decreasing function for all x gt 0 .

For what value of a, f(x) = log_(a)(x) is increasing on R?

Show that the function f(x)=1/x is decreasing in (0,oo) .

Show that the function f(x) = x^3- 3x^2 + 3x, x in R is increasing on R.

Show that the function f(x) = x^(3) - 6x^(2) + 12x - 18 is an increasing function on R.

Show that the function f(x)=2x-|x| is continuous at x=0 .

Show that the function given by f(x) = e^(2x) is strictly increasing on R.