Given that y=(1+6x)^1/3 , show that dy/dx=2/y2.
Thanks in advance.
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Please show some work, so we know how to help you on this question. We can only provide hints/ partial solutions, after seeing some work from the poster.
Last edited by chen09; September 29th 2013 at 12:18 PM.
I end up with 2/y^2/3, and it should be 2/y2.
Last edited by emirp; September 29th 2013 at 12:32 PM.
There you have it, Shakarri gave you the explicit answer. I suggest that you do more exercises so that these algebraic manipulations become natural for you.
Best of luck.
Thankyou very much . Yes i need more practice, i also see where i went wrong.
If you are expected to get an implicit solution (as you are here) implicit differentiation is usually the most direct method:
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