#### Jason

##### Well-known member

[math]\dfrac{d}{dx}(\dfrac{f(x)}{g(x)}) [/math]

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

[math]\dfrac{d}{dx}(\dfrac{45x^{3}}{5x^{2} - 3}) [/math]

[math]\dfrac{[5x - 2][90x^{2}] - [45x^{3}][10x]}{[5x^{2} - 3]^{2}}[/math]

What would be

[math]\dfrac{d}{dx}(\dfrac{9x^{4}}{13x^{2} - 5x})[/math] ?

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

[math]\dfrac{d}{dx}(\dfrac{45x^{3}}{5x^{2} - 3}) [/math]

[math]\dfrac{[5x - 2][90x^{2}] - [45x^{3}][10x]}{[5x^{2} - 3]^{2}}[/math]

__Your turn__What would be

[math]\dfrac{d}{dx}(\dfrac{9x^{4}}{13x^{2} - 5x})[/math] ?

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