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
SA
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