Find the first derivative of x^2+y^2=25

Ajay Ohri asked Jul 5, 2023

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Ajay Ohri asked Jul 5, 2023

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25 votes

Answer:

(dy)/(dx)=-(x)/(y)

Explanation:

Use implicit differentiation:

$x^2+y^2=25\\\\2x+2y(dy)/(dx)=0\\ \\2y(dy)/(dx)=-2x\\ \\(dy)/(dx)=-(x)/(y)$

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

Jigisha answered Jul 10, 2023

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