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CALCULUS (DIFFERENTIATION & INTEGRATION)

May 20, 2026Mathematics

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1. CALCULUS (DIFFERENTIATION & INTEGRATION)

a) If $y = (x^2+3x-1)(2x-5)$ , find $\frac{dy}{dx}$ .

Identify the functions for the product rule.
Let $u = x^2+3x-1$ and $v = 2x-5$ .
Differentiate $u$ and $v$ with respect to $x$ .
$\frac{du}{dx} = 2x+3$ $\frac{dv}{dx} = 2$
Apply the product rule formula $\frac{dy}{dx} =

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