Tentukan turunan dari f(x) = (X pangkat3 -1)(X pangkat2 +2)

By Admin ReiPosted on December 5, 2022

Tentukan turunan dari f(x) = (X pangkat3 -1)(X pangkat2 +2)

misal

$u = {x}^{3} - 1 \ u' = 3 {x}^{2}$

$v = {x}^{2} + 2 \ v' = 2x$

$f(x) = uvto : f'(x) = u'v + uv'$

$f'(x) = u'v + uv' \ = (3 {x}^{2} )( {x}^{2} + 2) + ( {x}^{3} - 1)(2x) \ = (3 {x}^{4} + 6 {x}^{2} ) + (2 {x}^{4} - 2x) \ = 5 {x}^{4} + 6 {x}^{2} - 2x$