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Continuity and Differentiabilty|Questions on INcreasing and Decreasing functions

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Questions Based On Increasing And Decreasing Functions|Exercise Questions|OMR

A continuous and differentiable function f(x) is increasing in (-oo,3/2) and decreasing in (3/2,oo) then x=3/2 is

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Strictly increasing functions and strictly decreasing functions

Which of the following statement is always true? (a)If f(x) is increasing, the f^(-1)(x) is decreasing. (b)If f(x) is increasing, then 1/(f(x)) is also increasing. (c)If fa n dg are positive functions and f is increasing and g is decreasing, then f/g is a decreasing function. (d)If fa n dg are positive functions and f is decreasing and g is increasing, the f/g is a decreasing function.

If f(x)=(x^2)/(2-2cosx);g(x)=(x^2)/(6x-6sinx) where 0 < x < 1, (A) both 'f' and 'g' are increasing functions (B) 'f' is increasing and 'g' is decreasing functions (C) 'f' is decreasing and 'g' is increasing functions (D) both 'f' and 'g' are decreasing functions

Rate Of Change|Examples|Increasing And Decreasing Functions|OMR|Summary

Increasing And Decreasing Functions|Examples|OMR|Summary