Home
Class 12
MATHS
Show that the function given by f (x) = ...

Show that the function given by `f (x) = 3x + 17`is strictly increasing on R.

Answer

Step by step text solution for Show that the function given by f (x) = 3x + 17is strictly increasing on R. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.3|31 Videos
  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.4|23 Videos
  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.1|18 Videos
  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the least value of a such that the function given by f(x)=x^(2)+ax+1 is strictly increasing on (1, 2).

Show that the function given by f(x)=3x+17 is increasing on R.

Prove that the function f given by f(x) = x ^(2) – x + 1 is neither strictly increasing nor decreasing on (– 1, 1).

Show that the function given by f(x) = sin x is (a) increasing in (0,(pi)/(2)) (b) decreasing in ((pi)/(2), pi) (c ) neither increasing nor decreasing in (0, pi) .

Let I be any interval disjoint from [-1,1] . Prove that the function f given by f(x)=x+(1)/(x) is increasing on I.

Show that the function f given by f(x)=x^(3)-3x^(2)+4x, x in R is increasing on R.

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

Show that the function given by f(x)=7x-3 s increasing on R.

Prove that the function given by f(x)=x^(3)-3x^(2)+3x-100 is increasing in R.

Prove that the function f given by f (x) = log |cos x| is decreasing on (0,(pi)/(2)) and increasing on ((3pi)/(2) ,2pi) .