(a) Find, from first principles, the derivative of \(f(x) = (2x + 3)^{2}\). (b) Evaluate : \(\int_{1} ^{2} \frac{(x + 1)(x^{2} - 2x + 2)}{x^{2}} \mathrm {d}...

(a) Find, from first principles, the derivative of \(f(x) = (2x + 3)^{2}\).

(b) Evaluate : \(\int_{1} ^{2} \frac{(x + 1)(x^{2} - 2x + 2)}{x^{2}} \mathrm {d} x\)

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