Question

Which point is a relative minimum for the function y = -1 + csc(x)?
a) (3pi/2, 0)
b) (3pi/2, -1)
c) (pi/2, 0)
d) (pi/2, -1)

Answer 1

y'=??

Answer 2

idk im super confused

Answer 3

so take the derivative first

Answer 4

D[csc(x)]=-csc(x)cot(x)

Answer 5

next lets simplify it a little bit.
\[\frac{ -1 }{ \sin(x) }*\frac{\cos(x)}{\sin(x)}\]

Answer 6

\[\frac{ -\cos(x) }{ \sin^2 (x) }\]

Answer 7

set this equal to 0

Answer 8

are you with me?

Answer 9

kinda

Answer 10

okay just tell me where you got lost

Answer 11

D[csc(x)]=-csc(x)cot(x)
im not understanding what that is

Answer 12

D stands for derivative

Answer 13

That is the derivative of csc(x)

Answer 14

^^ bebong got it