All the values of parameter `m` for which the functions `f(x)=(x^3)/3+(m-1)x^2+(m+5)x+7` is increasing for all `x >0` lie in the interval is equal to

Prove that the function f(x)=(2x-1)/(3x+4) is increasing for all x R.

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

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

The function f(x) = x^(x) , x gt 0 , is increasing on the interval

if has set of all values of the parameter 'a' for which the function f(x) = sin 2x -8 (a+1) sin x + (4a^(2) +8a -14) x increases for all x in R and has no critical points for all x in R" is " (-oo , -m -sqrt(n))uu (sqrt(n) ,oo) then (m^(2) +n^(2)) is (where m,n are prime numbers):

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

Find all the values of the parameter'a' for which the function; f(x)=8ax-a sin 6x-7x-sin 5x increases & has no critical points for all x in R .

Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all x in R