Can you differentiate y = (x^4 + x)^10

To solve this equation we will need to apply the chain rule. This states that:dy/dx = dy/du * du/dxTo make the question simpler, we shall let u = x⁴+ x, and so:y = u¹⁰ and u = x⁴+ xBoth of these equations can be differentiated to give:dy/du = 10u⁹ and du/dx = 4x³+ 1Using the chain rule formula written above, dy/dx = dy/du * du/dx = 10u⁹ * (4x³+ 1) = 10(4x³+ 1)(x⁴+ x)⁹