Ayúdenme por favor no se como resolverlaUtilice las leyes de los logaritmos para simplificar y = ln [(2 − 4x)( x + 5)],luego encuentre dy / dx?

Simplificando la expresión aplicando la leyes de logaritmo se obtiene La derivada dy / dx = <img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B-4x-9%7D%7B%5Cleft%28x%2B5%5Cright%29%5Cleft%28-2x%2B1%5Cright%29%7D" />Solución por pasos : Simplificando la expresión : y = ln [(2 − 4x)( x + 5)]<img src="https://tex.z-dn.net/?f=%5Cln%20%5Cleft%28%5Cleft%282-4x%5Cright%29%5Cleft%28x%2B5%5Cright%29%5Cright%29" />Aplicamos propiedad de logaritmos : <img src="https://tex.z-dn.net/?f=%5Clog%20_c%5Cleft%28ab%5Cright%29%3D%5Clog%20_c%5Cleft%28a%5Cright%29%2B%5Clog%20_c%5Cleft%28b%5Cright%29" /><img src="https://tex.z-dn.net/?f=%5Cln%20%5Cleft%28%5Cleft%282-4x%5Cright%29%5Cleft%28x%2B5%5Cright%29%5Cright%29%3D%5Cln%20%5Cleft%282-4x%5Cright%29%2B%5Cln%20%5Cleft%28x%2B5%5Cright%29" /><img src="https://tex.z-dn.net/?f=%3D%5Cln%20%5Cleft%28-4x%2B2%5Cright%29%2B%5Cln%20%5Cleft%28x%2B5%5Cright%29" />Obteniendo dy / dx<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28%5Cln%20%5Cleft%28-4x%2B2%5Cright%29%2B%5Cln%20%5Cleft%28x%2B5%5Cright%29%5Cright%29" />Aplicamos : <img src="https://tex.z-dn.net/?f=%5Cleft%28f%5Cpm%20g%5Cright%29%27%3Df%5C%3A%27%5Cpm%20g%27" /><img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28%5Cln%20%5Cleft%28-4x%2B2%5Cright%29%5Cright%29%2B%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28%5Cln%20%5Cleft%28x%2B5%5Cright%29%5Cright%29" />Hallando : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28%5Cln%20%5Cleft%28-4x%2B2%5Cright%29%5Cright%29" />Regla de la cadena : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdf%5Cleft%28u%5Cright%29%7D%7Bdx%7D%3D%5Cfrac%7Bdf%7D%7Bdu%7D%5Ccdot%20%5Cfrac%7Bdu%7D%7Bdx%7D" />[img = 10][img = 11][img = 12][img = 13][img = 14]Sustituir en la ecuación : [img = 15][img = 16]Simplificando [img = 17]Hallando : [img = 18]Regla de la cadena : [img = 19][img = 20][img = 21][img = 22][img = 23]Sustituir en la ecuación : [img = 24][img = 25][img = 26]dy / dx nos va quedando : [img = 27]Simplificando[img = 28].