Hello, Could someone please show me the steps you would follow to differentiate the following function: xy^2 - 2y = x + 5 Thanks, Alex
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Originally Posted by alex95 Hello, Could someone please show me the steps you would follow to differentiate the following function: xy^2 - 2y = x + 5 Thanks, Alex Do you know implicit differentiation? Or if you are in calc 3 you can use another method. Where are you in your Calculus?
Calc 1 Thanks, Alex
Originally Posted by alex95 Calc 1 Thanks, Alex $\displaystyle xy^2 - 2y = x + 5$ $\displaystyle \text{product rule}1\cdot y^2+x2yy')-2y'=1$ Isolate y' $\displaystyle \displaystyle 2xyy'-2y'=1-y^2\Rightarrow y'(2xy-2)=1-y^2\Rightarrow y'=\frac{1-y^2}{2xy-2}$
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