I've got a question more with the structure of how this problem is presented:
x^(sin y) = y^(cos x)
We have been taught to solve by implicit differentiation when a problem looks something like this:
if x^3 + 2xy^2 +y^3 =1
But Ive seen some examples online of partial derivatives that present an expression with f (x,y)...but this problem looks different that that also.
The only thing in common is that there is an X and a Y variable.
The Attempt at a Solution
Im unsure of what to look for to solve this...maybe its not even implicit differentiation.
I am going with setting the expression to 0 ie:
------------- = 0
and then solving implicitly...and then popping in the pi/4 into the equation.
Does this sound like a good idea? Or is my instructor trying to "trick" us ...lol
maybe its implicit differentiation WITH exponential/Logarithmic differentiation? Anyway...
Thanks for any clues.
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