Show that the function given by `f (x) = 3x + 17`is strictly increasing on R.

Show that the function given by f (x) = sinx is (a) strictly increasing in (0,pi/2) (b) strictly decreasing in (pi/2,pi) (c) neither increasing nor decreasing in (0, pi)

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

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

Show that the function f(x) = 3x + 2 is strictly increasing function on R.

Show that the function f(x) = 5x - 2 is a strictly increasing function on R

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