AP

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let h(x)=(x2+1)(x−1)x+1h(x)=\dfrac{(x^{2}+1)(x-1)}{x+1}. (i) Find h′(x)h'(x). (ii) Simplify your result so that the numerator of the derivative is expressed as a polynomial of degree at most 33.

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