Question

find the slope of the curve when theta= pi/2

Answer 1

from 0 to pi

Answer 2

u know derivatives?

Answer 3

yes

Answer 4

2 cos (2x)

Answer 5

finding slope means finding derivative at a point

Answer 6

so find dr/dtheta and then put theta =pi/2

Answer 7

would it be -2?

Answer 8

yes :)

Answer 9

and thats it?

Answer 10

yup -2 is the slope

Answer 11

can someone confirm that?

Answer 12

looks fine to me

Answer 13

okay thanks.

Answer 14

if you graph the polar curve \(\large \theta=\frac{\pi}{2} \), don't you get a vertical line?
and what's the slope of a vertical line?

Answer 15

thats the curve

Answer 16

oh, ok...