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calculate the derivative of x^5-x+2/x^3+7

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I will assume you meant
y = (x^5 - x + 2)/(x^3 + 7)

use the quotient rule

dy/dx = [(x^3 + 7)(5x^4 - 1) - (x^5 - x + 2)(3x^2 ]/(x^3+7)^2

I will leave the simplification up to you

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