SOLUTION: find dy/dx for Square root of x + the square root of y = 9. at (16,25)

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Question 629778: find dy/dx for Square root of x + the square root of y = 9. at (16,25)
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%29+%2B+sqrt%28y%29+=+9, differentiate both sides with respect to x
1%2F2%2Fsqrt%28x%29+%2B+%281%2F2%2Fsqrt%28y%29%29%28dy%2Fdx%29+=+0
dy%2Fdx+=+-sqrt%28y%29%2Fsqrt%28x%29, substitute x = 16 and y = 25
= -sqrt%2825%29%2Fsqrt%2816%29
=highlight%28-5%2F4%29