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anonymous
 5 years ago
Can anyone break down this into steps for me i need to find dy/dx by implicit differentiation
anonymous
 5 years ago
Can anyone break down this into steps for me i need to find dy/dx by implicit differentiation

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[2\sqrt{x}+\sqrt{y}=5\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Differentiate each term D/dx 2sqrt(x) = 1/sqrt(x) D/dx sqrt(y) = 1/2sqrt(y) * dy/dx D/dx 5 = 0 leaving \[1/\sqrt{x} +1/2\sqrt{y}* dy/dx =0\] solve for dy/dx by subtracting 1/sqrt(x) and multiplying 2sqrt(y) \[dy/dx =2\sqrt{y}/\sqrt{x}\] in terms of x we have y = (52sqrt(x))^2 substitute this into above equation giving \[dy/dx = 4(10/\sqrt{x})\]
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