Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce the sum of simpler terms.
y = (8x^2 + 1)(6x + 5 + 8/x)
Apply the Product Rule: Let u = (8x^2 + 1) and v = (6x + 5 + 8/x)
d/dx(uv) = (8x^2 + 1) + (6x + 5 + 8/x)
Multiply the factors of the original expression, u and v, to produce a sum of simpler terms.
y =
(Simplify your answer.)
Find y'.
y' =