Prove that the function f given by `f(x)=x^2-x+1`is neither strictly increasing nor strictly decreasing on `( 1, 1)`.

Show that the function f(x)=x^(2) is neither strictly increasing nor strictly decreasing on R

Show that the function f(x)=x^(2) is neither strictly increasing nor strictly decreasing on R

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

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

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

Find the intervals in which the function f given by f(x)=x^(2)-4x+6 is (a) strictly increasing (b) strictly decreasing

Prove that the function 'f' given by f(x)=logsinx is strictly increasing on (0, (pi)/(2)) .

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

Prove that the function defined by f(x)=e^(x) is strictly increasing in R

Find the intervals in which the function f given by f(x)=sin x-cos x, 0 lt x lt 2 pi is strictly increasing or strictly decreasing.