Implicit Differentiation: Find Y

oswald
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Homework Statement



Find y'

Homework Equations



5.GIF


The Attempt at a Solution



imagem.GIF


My solution:
imagem2.GIF

it's correct?
 
Last edited:
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Hard to tell until you post the question :wink:
 
yes, telling us where to find y prime FROM would be helpful :D
 
I find nothing wrong with your solution. :smile:
 
Or anything right, for that matter.
 
Your question stumps me. my guess to the solution would be dirty rabbit eating, fox wearing donkey butt. I am pretty confident this is right. Ask your professor, he will
probably say the same.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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