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Differentiate the function with respect to x: y = (x^2 + 4x + 5)(x^3 - 2).

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Differentiate the function with respect to x:

y = (x2 + 4x + 5)(x3 - 2).

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Well, y = (x2 + 4x + 5)(x3 - 2) = x5 + 4x4 + 5x3 - 2x2 - 8x -10

So, dy/dx = 5x4 +16x3 + 15x2 - 4x - 8

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