Question: (a) Find y' implicitly for x3 - y3 = 8. (b) Then, by taking derivatives implicitly, use part (a) to show that (c) Substitute x2/y2

(a) Find y' implicitly for x3 - y3 = 8.
(b) Then, by taking derivatives implicitly, use part (a) to show that
2x(у — ху

(c) Substitute x2/y2 for y' in the expression for y'' and simplify to show that

2x(y3 – x') y

(d) Does y'' = - 16x/y5? Why or why not?

2x( ") ". ys 2x(y3 x') y" : ys

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