# Class 12 Work sheet increasing and decreasing functions

Mathematics Integration Level: Misc Level

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

Mathematics Integration Level: Misc Level

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

Mathematics Integration Level: Misc Level

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

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x) = log Cos x is strictly decreasing on

Mathematics Integration Level: Misc Level

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

(i) strictly increasing on

(ii) strictly decreasing on

(iii) neither increasing nor decreasing in (0,)

Mathematics Integration Level: Misc Level

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

f(x) = x^{2} - 4x + 6

Mathematics Integration Level: Misc Level

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

f(x) = 2x^{3} - 3x^{2} - 36x + 7

Mathematics Integration Level: Misc Level

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

Mathematics Integration Level: Misc Level

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

f(x) = x^{4} - 4x