# Class 12 Work sheet increasing and decreasing functions

5719

Mathematics Integration Level: Misc Level

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

5721

Mathematics Integration Level: Misc Level

Show that the function f(x) = log x is strictly increasing

5722

Mathematics Integration Level: Misc Level

Show that the function f given by f(x) = x3 - 3x2 + 4x, x$\epsilon$R, is strictly increasing on R

5723

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x) = log Cos x is strictly decreasing on $\left ( 0,\frac{\pi}{2} \right )$

5724

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x) = Sin x is

(i)  strictly increasing on $\left ( 0,\frac{\pi}{2} \right )$

(ii)  strictly decreasing on $\left ( \frac{\pi}{2},\pi \right )$

(iii)  neither increasing nor decreasing in (0,$\pi$)

5725

Mathematics Integration Level: Misc Level

Prove that the function f given by $f(x)=\frac{4Sinx}{2+Cosx}-x$ is increasing in $\left [ 0,\frac{\pi}{2} \right ]$

5726

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = x2 - 4x + 6

5727

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = 2x3 - 3x2 - 36x + 7

5728

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

$f(x)=x+\frac{1}{x},x\neq 0$

5729

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = x4 - 4x

Displaying 1-10 of 11 results.