Quotient Rule Calculus

Use the product rule to find the derivative of

$f(x) = (x^3 + 5x)(2x^2)$

Find the derivative of $f(x) = \sin{x}(x^2 + 5)$

Use the product rule to find the derivative of $y = 5x(x^2 - 2)$

Use the product rule to find the derivative of $y = (3x^2 + 2x) (2x^4 - 5)$