Show that the function f given by `f(x)=x^3-3x^2+4x ,x in R`is strictly increasing on R.

Prove that the function given by f(x)=2x^(3)-6x^(2)+7x is strictly increasing in R.

Find the intervals in which the function f given by f (x) = x^(2) – 4x + 6 is strictly increasing:

Show that the functions f(x) = x^(3)+ 10 x + 7 " for " x in R is strictly increasing

Show that function f given by f(x)=(1)/(5)x^(5)-3x^(4)+12x^(3)+4x, x in R is stictly increasing on R.

Prove that the function f given by f" "(x)" "=" "log" "cos" "x is strictly decreasing on (0,pi/2) and strictly increasing on (pi/2,pi) prove that the function f given by f(x) = log sin x is strictly decreasing on ( 0 , pi/2) and strictly increasing on ( pi/2 , pi) . .

Show that the function f:R rarr R given by f(x)=x^(3)+x is a bijection.

The function f:R to R given by f(x)=x^(2)+x is

Show that the function f:R rarr given by f(x)=x^(3)+x is a bijection.

Show that the function given by f(x)=7x-3 is strictly increasing on R .

Find the intervals in which the function f given by f(x)=2x^(2)-3x is (a) strictly increasing (b) strictly decreasing