CBSE (Commerce) Class 12CBSE
Share
Notifications

View all notifications

Let I Be Any Interval Disjoint from (−1, 1). Prove that the Function F Given by F(X) = X + 1/X Is Strictly Increasing On I. - CBSE (Commerce) Class 12 - Mathematics

Login
Create free account


      Forgot password?

Question

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

Solution

We have,

∴ f is strictly increasing on `(-oo, 1) and (1, oo)`

Hence, function f is strictly increasing in interval I disjoint from (−1, 1).

Hence, the given result is proved.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 15 | Page no. 206
Solution Let I Be Any Interval Disjoint from (−1, 1). Prove that the Function F Given by F(X) = X + 1/X Is Strictly Increasing On I. Concept: Increasing and Decreasing Functions.
S
View in app×