Question

Find the differential dy y=(squareroot 36-x^2)

Answer 1

eekkk

Answer 2

Help :(

Answer 3

let me rewrite this equation @Roro567, because I often start and then later on I figure out that I am not talking about the same equation as in the opening post

\[ y= \sqrt{36-x^2}\] is that the equation?

Answer 4

sure is, spacey

Answer 5

Yes

Answer 6

then use the chain rule

\[ \frac{dy}{dx}= \frac{-x}{\sqrt{36-x^2}} \]

Answer 7

yayy. might need to explain that more spacey

Answer 8

You can split it up into two differential if you like, using substitution.

Answer 9

okayy

Answer 10

\[ u = 36-x^2 \]

so \(y=\sqrt{u}\) then you can find both differentials and multiply them together. You know how to do that?

Answer 11

yes thanks!

Answer 12

very well.