Differentiate.

Question

sqrt((6x^2 + 5x + 1)^3)

Answer 1

let y = √((6x^2 + 5x + 1)^3)
= (6x^2 + 5x + 1)^(3/2)

dy/dx = (3/2)(6x^2 + 5x + 1)^(1/2)(12x + 5)
= (3/2)(12x+5)√(6x^2 + 5x + 1)