Question

find (dx/dy): (2x+3y)^5=x+1

Answer 1

I suggest using implicit differentiation to get dy/dx then get the reciprocal to find dx/dy.

Answer 2

Thank you

Answer 3

why not just implicit x(y)?

Answer 4

(2x+3y)^5=x+1

5(2x+3y)^4 (2x'+3) = x'

and solve for x'

Answer 5

I do not see a possible way to solve for x'

Answer 6

let that 5()^4 part equal say: k

k(2x'+3) = x'

2kx' + 3k = x'

3k = x' - 2kx'

3k = x'(1-2k) .... and divide

Answer 7

Thank you!

Answer 8

good luck :)