Question

Find dy/dx by implicit differentiation.
cot(y) = 3x − 6y

Answer 1

can someone please help me with this?

Answer 2

lets see if i still got my skills *knuckle crack*

Answer 3

haha alright.

Answer 4

does anything come to mind:)

Answer 5

differentiate both sides and since y is a function of x we get:

(-csc^2(y))y'=3-6y'
now we get all the y's on one side...

7y'=3/(-csc^2(y))

y'= -3/7csc^2(y)

Answer 6

pretty sure that's how that one goes

Answer 7

pretty much just treat y like it's a general function instead of a variable and see what happens. lol.

Answer 8

y'= -3/7csc^2(y)...so thats the answer..we learnt it in lecture but i was havng trouble with it

Answer 9

yep. that's what i get anyway. does the back of the book give you the answer? if you want i can try to help you out with it more

Answer 10

thats the wrong answer

Answer 11

see our homework is submitted online so it marked it wrong but i have another shot

Answer 12

then i fail. lol. my skills have faded

Answer 13

lets see if i can figure out what i did wrong, hold on a sec

Answer 14

haha its oki

Answer 15

alright thanx:)

Answer 16

ok, i know why i fail at life now. i differentiated correctly, but solved for y' incorrectly. super algebra fail. lets try this again:

-csc^2(y)(y')=3-6y'
y'[(-csc^2(y)-6)]=3
y'=3/(-csc^2(y)-6)
or
y'=-3/(csc^2(y)+6)