Consider the function

$y=x^4(7+x{)}^{1-x^2}.$

$($a$)$ Compute and simplify $logy.($Note: you might have to use the argument force $=$ True with expand$\_$log to force simplification.$)$

$($b$)$ Find the derivative of $logy$ with respect to $x.$

$($c$)$ Use the expression found in the previous step to find the derivative of $y.$

$($d$)$ Now use the diff command to directly find the derivative of $y.$ Is it the same as what you found in the previous step?

Solve using Python