Question

Find dy/dx by implicit differentiation.
x^5+y^3=4....i got (-5x^4)/(y^2)....

Answer 1

implicit is just the same as explicit; just a new name thats all

Answer 2

im just learning the chapter now...

Answer 3

x^5 + y^3 = 4

Dx(x^5) +Dx(y^3) = Dx(4)

x' 5x^4 + y' 3x^2 = 0 ; x'=1; solve for y'

Answer 4

i typoed it; thats spose to be y' 3y^2 :)

Answer 5

yes..but wouldnt you have to solve it..to be come..\[3y^2y^'=-5x^4....\]

Answer 6

and divide it by \[3y^2?\]

Answer 7

differentiating is the same regardless of what you call it; explicit, implicit or other....

yes, that is correct; the only thing you left out in your post was the '3'

Answer 8

to get \[-5x^4/3y^2\]

Answer 9

yep

Answer 10

ooohh haha silly me

Answer 11

yeah :)

I took a test the other day and derived fine; but I misplaced a sign.. grrr

Answer 12

i know i hate it when that happens