Implicit differentiation question with inverse trig

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The discussion centers on solving an implicit differentiation problem involving inverse trigonometric functions. Participants emphasize the importance of showing work step-by-step rather than posting images, as this allows for more targeted feedback. A suggestion is made to simplify the expression under the square root to facilitate the differentiation process. The conversation highlights two approaches: a "brute force" method and a more efficient implicit differentiation technique. Overall, the focus is on clarifying the correct application of implicit differentiation for the given problem.
iwantcalculus
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Homework Statement


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Homework Equations



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The Attempt at a Solution



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Note: by real solution I mean the correct implicit
derivative, not an actual real solution...
Please help![/B]
 
Last edited:
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You can expand and simplify the expansion under the square root.
And you were asked to apply implicit differentiation. How would you do it?
Please, type in your work.
 
ehild said:
You can expand and simplify the expansion under the square root.
And you were asked to apply implicit differentiation. How would you do it?
@iwantcalculus, there's the "brute force" way, which is how you are proceeding, and there's a different way that involves implicit differentiation. What's another way to write the equation you're starting with.
ehild said:
Please, type in your work.
Absolutely. Posting an image of your work doesn't let us insert a comment at a particular location where you might have gone wrong.
 
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