SCalc$92\mathrm{.}6\mathrm{.}002.$

Consider the following.

$9x^7+y^3=8x$

$($a$)$ Find $y^{\text{'}}$ by implicit differentiation.

$y^{**}=$

$$

$($b$)$ Solve the equation explicitly for $y$ and differentiate to get $y^{\text{'}}$ in terms of $x.$

$y^{\text{'}}=$

$$

$($c$)$ Check that your solutions to parts $($a$)$ and $($b$)$ are consistent by substituting the expression for $y$ into your solution for part $($a$).$

$y^{\text{'}}=$

$$

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