On the graph of f (x) = sin x and the interval (-2pi, 0), for what value of x does f (x) achieve a minimum? Choose all

answers that apply.

Question

Esteban

Mathematics

20 July, 07:31

On the graph of f (x) = sin x and the interval (-2pi, 0), for what value of x does f (x) achieve a minimum? Choose all

answers that apply.

+2

Answers (1)

Know the Answer?

Deleon · Answer 1

x = - pi/2

Step-by-step explanation:

hello:

f (x) = sin x x⋲ (-2pi, 0)

the derivate for f is : f' (x) = cosx

f (x) achieve a minimum when : f' (x) = 0

cosx = 0 genral solution is:

x = pi/2 + kpi ... k in Z

but : x⋲ (-2pi, 0) so : x = - pi/2 ... (k = - 1)

On the graph of f (x) = sin x and the interval (-2pi, 0), for what value of x does f (x) achieve a minimum? Choose allanswers that apply.

On the graph of f (x) = sin x and the interval (-2pi, 0), for what value of x does f (x) achieve a minimum? Choose all

answers that apply.