Question

Find dy / dx by implicit differentiation.
xy + 5x + 3x^2 = 5...
I got y'=(-y-5-6x)/x...but i got stuck

Answer 1

[xy]' = x'y + xy'

[5x]' = 5

[3x^2]'=6x

[5]' = 0

Answer 2

x'y + xy' +5 + 6x = 0

y' = (-5-6x -y)/x

Answer 3

yes...i got that steps i took all of the derviatives

Answer 4

where you stuck at? you found the derivative

Answer 5

sure looks good to me!

Answer 6

that y'=(-5-6x-y)/x

Answer 7

but how do i finish it?

Answer 8

by inserting whatever point they give you to fill in x and y

Answer 9

you have a curve and have decided that y is a (implicit) function of x. since you did not solve for y in terms of x your answer must have a y in it. you are done

Answer 10

haha there is no point i wish there was

Answer 11

then y' = what it equals and you are done with it

Answer 12

o ok..so i had the answer right then

Answer 13

yes

Answer 14

ok thanks