Let `h(x)=f(x)-(f(x))^2+(f(x))^3` for every real number `xdot` Then (a) `h` is increasing whenever `f` is increasing (b)`h` is increasing whenever `f` is decreasing (c)`h` is decreasing whenever `f` is decreasing (d) nothing can be said in general

Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prove that g is increasing whenever is increasing.

Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prove that g is increasing whenever is increasing.

Let h(x) =f(x)-a(f(x))^(3) for every real number x h(x) increase as f(x) increses for all real values of x if

The function f(x)=x/(1+|x|) is (a) strictly increasing (b) strictly decreasing (c) neither increasing nor decreasing (d) none of these

The function f(x)=x^2-x+1 is increasing and decreasing in the intervals

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

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

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.

State whether f(x)=tanx-x is increasing or decreasing its domain.