(i) Differentiate with respect to…

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

(i) Differentiate ln⁡∣x2−4x+7∣\ln|x^{2}-4x+7| with respect to xx. (a) Differentiate ln⁡∣x2−4x+7∣\ln|x^{2}-4x+7| with respect to xx. (b) Hence, find ∫2x−4x2−4x+7 dx\displaystyle \int \frac{2x-4}{x^{2}-4x+7}\,dx.

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