Find the intervals in which the following functions are strictly increasing or decreasing:

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

6. Find the intervals in which the following functions are strictly increasing or decreasing: (a)

x^{2}+2 x-5

(b)

10-6 x-2 x^{2}

(c)

-2 x^{3}-9 x^{2}-12 x+1

(d)

6-9 x-x^{2}

(e)

(x+1)^{3}(x-3)^{3}