Question

Find Derivative:
3xy^2 + y^3 = 8

Answer 1

with respect to x or y?

Answer 2

derivative with respect to x I am assuming

Answer 3

im not sure says to find in terms of x and y using implicit

Answer 4

now just solve for y'

Answer 5

i got y/2x+y is that correct?

Answer 6

?

Answer 7

Hold on ,

Answer 8

3xy^2 + y^3 = 8
using product rule

3(2y y' x + y^2) +3y^2 y'=0

Answer 9

now just solve for y'

Answer 10

ohhh with the 3 as a constant I have to put it outside the brackets of the whole derivative of the 3xy^2?

Answer 11

no, just one bracket 3 multiplies into just one bracket 3(2y y' x + y^2)

Answer 12

right I understand. so is my final answer of y/2x+y correct?

Answer 13

Your answer was very nearly correct amzerz

Answer 14

You are missing a negative I think.

Answer 15

minus

Answer 16

y' = -y/(2x+y)

Answer 17

right I see that now! thanks!!