Question

what is dy/dx (y)

Answer 1

What is the equation?

Answer 2

Find
dy/dx
by implicit differentiation.
x4y7 − y = x

Answer 3

x^4Y^7-y=x

Answer 4

Is it \[x^4y^7-y=x\] ?

Answer 5

yes

Answer 6

k so I would start off by differentiating both sides

Answer 7

for \[x^4y^7\] you must use product rule

Answer 8

yea I did dat

Answer 9

what did you get?

Answer 10

I had \[7xy^6 dy/dx + y^7\]

Answer 11

Derivative of \[x^4 = 4x^3\]

Answer 12

multiply that by \[y^7\]

Answer 13

ok

Answer 14

Then derivative of \[y^7 = 7y^6* y \prime\]

Answer 15

multiply that by \[x^4\]

Answer 16

And you add the two sides that should be the answer to the product rule part

Answer 17

\[7y^6x^4*dy/dx + 4x^3y^7\]

Answer 18

now plug that into the rest of the equation

Answer 19

ok