Home
Class 12
MATHS
Prove that f(x) = (3)/(x) + 7 is strictl...

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

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION B ANSWER ANY THREE QUESTIONS|24 Videos
  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION C ANSWER ANY ONE QUESTIONS|11 Videos
  • VERY SIMILAR TEST 5

    ARIHANT PRAKASHAN|Exercise SECTION C|12 Videos
  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If a is a real number such that 0 lt a lt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

Prove that the function f(x) = tan x -4x is strictly decreasing on (- (pi)/(3), (pi)/(3)) .

Show that the function f(x) = cos^(2) x is strictly decreasing on (0, (pi)/(2)) .

Prove that the function f given by f(x) = logsin x is strictly increasing on (0,pi/2) and strictly decreasing on (pi/2,pi)