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0580 P41 - Jun 2021 - Q7 - 14 marks
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(a) Simplify \(\frac{x^2-25}{x^2-x-20}\). [3]

(b) Write \(\frac{x+5}{x}+\frac{x+8}{x-1}\) as a single simplified fraction. [3]

(c(i)) For \(y=2x^3-4x^2+6\), find \(\frac{dy}{dx}\). [2]

(c(ii)) Find the gradient at x = 4. [2]

(c(iii)) Find both stationary points. [4]

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