Given , answer the…

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

Problem

Given g(x)=(x2+1)(3x−5)+5x2−4x+2g(x)= (x^{2}+1)(3x-5)+\dfrac{5x^{2}-4}{x+2}, answer the following: (i) Find g′(x)g'(x). (ii) Determine the slope of the tangent to y=g(x)y=g(x) at x=1x=1.

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