If and , then the value of…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

If y=x4−x2+1x2+3x+1y=\frac{x^4-x^2+1}{x^2+\sqrt{3}x+1} and dydx=ax+b\frac{dy}{dx}=ax+b, then the value of a−ba-b is (a) cot⁡π8\cot\frac{\pi}{8} (b) cot⁡π12\cot\frac{\pi}{12} (c) tan⁡π12\tan\frac{\pi}{12} (d) tan⁡5π8\tan\frac{5\pi}{8}

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