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Algebra of Derivatives

Differentiate...

Question

Differentiate $y = (x + a) (x^{2} + a^{2})$ w.r.t $x$

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Solution

$y = x^{3} + x a^{2} + a x^{2} + a^{3}$
$\frac{d y}{d x} = 3 x^{2} + a^{2} + 2 a x + 0$
$\frac{d y}{d x} = 3 x^{2} + 2 a x + a^{2}$

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