Quotient Rule

TheJason

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\(\displaystyle \dfrac{d}{dx}(\dfrac{f(x)}{g(x)}) \)

\(\displaystyle \dfrac{[g(x)][f'(x)] - [f(x)][g'(x)]}{[g(x)]^{2}} \)

\(\displaystyle \dfrac{d}{dx}(\dfrac{45x^{3}}{5x^{2} - 3}) \)

\(\displaystyle \dfrac{[5x - 2][90x^{2}] - [45x^{3}][10x]}{[5x^{2} - 3]^{2}}\)

Your turn

What would be

\(\displaystyle \dfrac{d}{dx}(\dfrac{9x^{4}}{13x^{2} - 5x})\) ?
 
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