If `fogoh(x)` is an increasing function, then which of the following is not possible? (a)`f(x),g(x),a n dh(x)` are increasing (b)`f(x)a n dg(x)` are decreasing and `h(x)` is increasing (c)`f(x),g(x),a n dh(x)` are decreasing

If f(x)a n dg(x) are two positive and increasing functions, then which of the following is not always true? (a) [f(x)]^(g(x)) is always increasing (b) [f(x)]^(g(x)) is decreasing, when f(x) 1. (d) If f(x)>1,t h e n[f(x)]^(g(x)) is increasing.

If f(x) and g(x) are differentiable and increasing functions then which of the following functions alwasys increases?

Find the intervals in which the following functions are: (i) increasing .(ii)decreasing f(x) = 2x^(2)-6x

Find the intervals in which the following function is increasing and decreasing f(x)=x^2-6x+7

For each of the following graphs, comment whether f(x) is increasing or decreasing or neither increasing nor decreasing at x = a.

If f(x)=xe^(x(x−1)) , then f(x) is (a) increasing on [−1/2,1] (b) decreasing on R (c) increasing on R (d) decreasing on [−1/2,1]

Find the intervals in which f(x)=x/(logx) is increasing or decreasing

Statement 1: The function f(x)=x In x is increasing in (1/e ,oo) Statement 2: If both f(x)a n dg(x) are increasing in (a , b),t h e nf(x)g(x) must be increasing in (a,b).

Find the intervals in which f(x)=x/(logx) is increasing or decreasing.

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.