Let . Which of the following are…

MATHEMATICS · Multi correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

f(x)=\frac{x-1}{x^2}

. Which of the following are correct? (1)

f(x)

has minima but no maxima. (2)

f(x)

increases in the interval

(0,2)

and decreases in the interval

(-\infty,0)\cup(2,\infty)

. (3)

f(x)

decreases in

(-\infty,0)\cup(0,3)

. (4)

x=3

is a point of inflection.