MatemáticasBásico1 respuestas

Y = 3x - 5 / (x ^ 2 + 7) derivar ayudemen?

Y = 3x - 5 / (x ^ 2 + 7) derivar ayudemen.

En resumen

<img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B3x-5%7D%7B%20x%5E%7B2%7D%2B7%20%7D%20" /> utilizando la regla de la Diferenciación <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%27%3D%20%5Cfrac%7Bf.g%27-f%27.

Mejor respuesta

ASDRAUL124
7

<img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B3x-5%7D%7B%20x%5E%7B2%7D%2B7%20%7D%20" />

utilizando la regla de la Diferenciación

<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%27%3D%20%5Cfrac%7Bf.g%27-f%27.g%7D%7Bg%5E%7B2%7D%20%7D%20%20" />

<img src="https://tex.z-dn.net/?f=y%27%3D%20%20%5Cfrac%7B%20%5Cfrac%7Bd%7D%7Bdx%7D%283x-5%29%28%20x%5E%7B2%7D%2B7%29-%283x-5%29%20%5Cfrac%7Bd%7D%7Bdx%7D%28%20x%5E%7B2%7D-7%29%7D%7B%28x%5E%7B2%7D%2B7%29%5E%7B2%7D%20%7D%20" />

<img src="https://tex.z-dn.net/?f=y%27%3D%20%5Cfrac%7B%283-0%29%28%20x%5E%7B2%7D%20%2B7%29-%283x-5%29%282x%2B0%29%7D%7B%28x%5E%7B2%7D%2B7%29%5E%7B2%7D%20%20%7D%20" />

<img src="https://tex.z-dn.net/?f=y%27%3D%20%5Cfrac%7B3%28%20x%5E%7B2%7D%20%2B7%29-%283x-5%29%282x%29%7D%7B%28%20x%5E%7B2%7D%20%2B7%29%5E%7B2%7D%20%7D%20" />

<img src="https://tex.z-dn.net/?f=y%27%3D%20%5Cfrac%7B3%20x%5E%7B2%7D%20%2B21-6x%5E%7B2%7D%2B10x%20%7D%7B%28%20x%5E%7B2%7D%20%2B7%29%5E%7B2%7D%20%7D%20" />

<img src="https://tex.z-dn.net/?f=y%27%3D%20%5Cfrac%7B-3%20x%5E%7B2%7D%20%2B10x%2B21%7D%7B%28%20x%5E%7B2%7D%2B7%29%5E%7B2%7D%20%20%7D%20" /> R / /.