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

Show that the function given by f(x)=e^(2x) is strictly increasing on R

Show that the function given by f(x)=e^(2x) is strictly increasing on R.

Show that the function given by f(x)=e^(2x) is strictly increasing on R.

Prove that the function f defined by f(x)=x^2−x+1 is neither increasing nor decreasing in (−1,1) . Hence find the intervals in which f(x) is strictly increasing and strictly decreasing.

Show that the function given by f(x) = e^(2x) is strictly increasing on R.

Show that the function given by f(x) = e^(2x) is strictly increasing on R.

Show that the function given by f(x) = e^(2x) is strictly increasing on 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))

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