Question

calcular la quinta derivada de la función Y=4x⁴ - cosx .

Answer 1

La quinta derivada es
$y = 4 {x}^{4} - \cos(x) \\ {y}^{.} = 16 {x}^{3} + \sin(x) \\ {y}^{..} = 48 {x}^{2} - \cos(x) \\ {y}^{...} = 96x + \sin(x) \\ {y}^{....} = 96 - \cos(x) \\ {y}^{.....} = \sin(x)$