Question: Consider the function: z= s(x, y) which is assumed to have continuous third partial derivatives. i. Assume that s(x, y) = 0 implicitly defines

Consider the function: z= s(x, y) which is assumed to have continuous

Consider the function: z= s(x, y) which is assumed to have continuous third partial derivatives. i. Assume that s(x, y) = 0 implicitly defines y as a function of x. Calcu late: dy/dx and dy/dx. ii. Explain in words why dy/dx from (i.) is the slope of the x = 0 contour.

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