(a) If f (x, y) = y x 3 + 2x write down expressions for f...
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(a) If f (x, y) = y − x3 + 2x write down expressions for fx and fy. Hence use implicit differentiation to find dy/dx given that y − x3 + 2x = 1
(b) Confirm your answer to part (a) by rearranging the equation y − x3 + 2x = 1 to give y explicitly in terms of x and using ordinary differentiation.
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