(a) Find y' implicitly for x 3 - y 3 = 8. (b) By taking derivatives implicitly,...

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(a) Find y' implicitly for x3 - y3 = 8.

(b) By taking derivatives implicitly, use part (a) to show that

2x(y – xy') y

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

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

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