6:41 Test Find the derivatives y' = f' (x ) Simplify if possible . 2/ 14 / 2022 1 + ( x ) = ( x 4 -* - 1)4 2 f ( x ) = (1 - *) ( 3x - 5 ) " ; factor to simplify result 3 y = 1/24 1 2x5/2 + 1 4 4x 4 + 3x = xy - y i use implicit differentiation 5 f ( x ) = X 3 x 4 2 @ y = 5 X 5 X 3 9x+ 4 y = 3/GX - 7 8 : = 1 Dx[ x" ] = nx-1 Dx[ u" ] = nu"- . u' ; Dx[ [g(x)]" ] = ng(x)]"-'g'(x) Product Rule Dx[ uv ] = u'v + uv' Quotient Rule Dx[ u/v ] = Vu' - uv