$\begin{matrix} Differentiate (x^{2} - 5 x + 8) (x^{3} + 7 x + 9) in ways mentioned below: (i) by using product rule \end{matrix}$

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Solution

$(x^{2} - 5 x + 8) (x^{3} + 7 x + 9)$ differentiating by using
product rule.
S./n product rule is
$\frac{d}{d x} (f . g) = f^{'} (x) . g (x) + f (n) . g^{'} (x)$
So $\frac{d}{d x} [(x^{2} - 5 x + 8) (x^{3} + 7 x + 9)]$
$= (2 x - 5) (x^{3} + 7 x + 9) + (x^{2} - 5 x + 8) (3 x^{2} + 7)$

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Do they all given the same answer?

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