Question: Use implicit differentiation to calculate higher derivatives. Consider the equation y 3 3/2 x 2 = 1. (a) Show that y'= x/y 2 and

Use implicit differentiation to calculate higher derivatives.

Consider the equation y3 − 3/2 x2 = 1.
(a) Show that y'= x/y2 and differentiate again to show that

J y - 2xyy' 14

(b) Express y" in terms of x and y using part (a).

J y - 2xyy 14

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