Find the values of `a` if `f(x)=2e^x-a e^(-x)+(2a+1)x-3` is increasing for all values of `xdot`

The set of values of a for which the function f(x)=2e^x-ae^(-x)+(2a+1)x-3) is increasing on R,is

f(x) = x^(2) e^(-x) is increasing in

Set of all possible values of a such that f(x)=e^(2x)-(a+1)e^(x)+2x is monotonically increasing for all x in R is (-oo,a] ,then (a^(3))/(54) is

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

Prove that the least value of f(x) = (e^(x) + e^(-x)) is 2

Find the values 'a' for which the function f(x)=(a+2)x^(3)-3ax^(2)+9ax-1 decreases for all real values of x

Find the possible values of a such that f(x)=e^(2x)-(a+1)e^(x)+2x is monotonically increasing for x in R.

Statement 1: The function x^(2)(e^(x)+e^(-x)) is increasing for all x>0 statement 2: The functions x^(2)e^(x) and x^(2)e^(-x) are increasing for all x>0 and the sum of two infunctions in any interval (a,b) is an increasing function in (a,b).

Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not continuous at any xdot

Find least and greatest value of f(x)=e^(x2-4x+3) in [-5,5]