Porfavor alguien que me ayude con las siguientes derivadas de una Funcion le dare 75 Puntos f (x) = 4x ^ 6 - 3x ^ 2 - in x + cos x​?

Respuesta : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdf%28x%29%7D%7Bdx%7D%20%3D%2024x%5E%7B5%7D-6x-%5Cfrac%7B1%7D%7Bx%7D%20-Sen%28x%29" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=f%28x%29%3D4x%5E6-3x%5E2-Ln%28x%29%2BCos%28x%29%5C%5C%5C%5C%5Cfrac%7Bdf%28x%29%7D%7Bdx%7D%20%3D%5Cfrac%7Bd%7D%7Bdx%7D%284x%5E6-3x%5E2-Ln%28x%29%2BCos%28x%29%29" />La derivada de sumas y restas son las sumas y restas de las derivadas : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdf%28x%29%7D%7Bdx%7D%20%3D%5Cfrac%7Bd%7D%7Bdx%7D%284x%5E6-3x%5E2-Ln%28x%29%2BCos%28x%29%29%5C%5C%5C%5C%5Cfrac%7Bdf%28x%29%7D%7Bdx%7D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%284x%5E6%29-%5Cfrac%7Bd%7D%7Bdx%7D%283x%5E2%29-%5Cfrac%7Bd%7D%7Bdx%7D%28Ln%28x%29%29%2B%5Cfrac%7Bd%7D%7Bdx%7D%28Cos%28x%29%29" />Operamos las derivas de forma individual recordando derivadas notables : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdx%5En%7D%7Bdx%7D%20%3D%20n%2Ax%5E%7Bn-1%7D%5C%5C%5C%5C%5Cfrac%7BdLn%28x%29%7D%7Bdx%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%5C%5C%5C%5C%5Cfrac%7BdCos%28x%29%7D%7Bdx%7D%3D-Sen%28x%29" />Resolviendo : <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdf%28x%29%7D%7Bdx%7D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%284x%5E6%29-%5Cfrac%7Bd%7D%7Bdx%7D%283x%5E2%29-%5Cfrac%7Bd%7D%7Bdx%7D%28Ln%28x%29%29%2B%5Cfrac%7Bd%7D%7Bdx%7D%28Cos%28x%29%29%5C%5C%5C%5C%5Cfrac%7Bdf%28x%29%7D%7Bdx%7D%20%3D%206%2A4x%5E%7B6-1%7D-2%2A3x%5E%7B2-1%7D-%5Cfrac%7B1%7D%7Bx%7D%20-Sen%28x%29%5C%5C%5C%5C%5Cfrac%7Bdf%28x%29%7D%7Bdx%7D%20%3D%2024x%5E%7B5%7D-6x-%5Cfrac%7B1%7D%7Bx%7D%20-Sen%28x%29%5C%5C%5C%5C" />.