Find dy/dx in terms of x and y

ln(x²+1) + ln(y+1) = x + y

thanks any help is fab (Thinking)

Printable View

- Feb 6th 2009, 12:07 PMgraceyImplicit differentiation problem
Find dy/dx in terms of x and y

ln(x²+1) + ln(y+1) = x + y

thanks any help is fab (Thinking) - Feb 6th 2009, 12:13 PMrunning-gag
- Feb 6th 2009, 12:22 PMSoroban
Hello, gracey!

Exactly where is your difficulty?

Quote:

Find $\displaystyle \frac{dy}{dx}$ in terms of $\displaystyle x\text{ and }y$

. . $\displaystyle \ln(x^2+1) + \ln(y+1) \:=\: x + y $

. . $\displaystyle \frac{2x}{x^2+1} + \frac{\frac{dy}{dx}}{u+1} \:=\:1 + \frac{dy}{dx}$ . . . . did you get this far?

The rest is just algebra . . .