Question

Se$y=cos(5x^3)$encontre y´´

Answer 1

Y = COS(5X³)

Y' = [COS(5X³]'*(5X³)'

Y' = -SEN(5X³)*(3*5X²)

Y' = -15X²SEN(5X³)

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Y' = -15X²SEN(5X³)

Y'' = (-15X²)'SEN(5X³) + (-15X²)*[SEN(5X³)]'(5X³)'

Y'' = -15*2X¹SEN(5X³) -15X²*COS(5X³)*(3*5X²)

Y'' = -30XSEN(5X³) -225X⁴COS(5X³)

Y'' = -15X[ 15X³COS(5X³) +2SEN(5X³)]