Consider the function on the interval

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

Problem

Consider the function

g(x)=\sin x-\dfrac{x}{2}

on the interval

[0,2\pi]

. Which of the following is the approximate value of the absolute minimum of

g

on this interval, correct to three decimal places? (a)

-2.618

(b)

-3.484

(c)

-3.142

(d)

-1.571