Increasing and decreasing functions

What is increasing or decreasing function

If y = f(x) be a monotonically increasing or decreasing function of x and M is the median of variable x, then the median of y is

Increasing decreasing function | Local Maxima and Minima | Point of Inflexion

Increasing decreasing function Problems | Local Maxima and Minima Problems

Increasing decreasing function Problems | Local Maxima and Minima Problems | Absolute maxima minima

Statement 1 The equation a^(x)+b^(x)+c^(x)-d^(x)=0 has only real root, if agtbgtcgtd . Statement 2 If f(x) is either strictly increasing or decreasing function, then f(x)=0 has only real root.

Let f(x) = (x)/(sqrt(a^(2) + x^(2)))- (d-x)/(sqrt(b^(2) + (d-x)^(2))), x in R , where a, b and d are non-zero real constants. Then, (A) f is an increasing function of x (B) f' is not a continuous function of x (C) f is a decreasing function of x (D) f is neither increasing nor decreasing function of x

Increasing Decreasing Function || Basic Definition || Critical and Stationary Point || Point OF Inflection || Questions Based on Maxima and Minima

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