Предмет: Математика, автор: dinisdacenko055

f'(x) = (x+3)(x-4)².

Ответы

Автор ответа: dobra888

1

Відповідь: ( x - 4 )( 3x + 2 ) .

Покрокове пояснення:

f(x) = (x+3)(x-4)².

f '(x) = [ (x+3)(x-4)² ]' = (x+3)'(x-4)² + (x+3)[ (x-4)² ]' = ( 1 + 0 )(x-4)² +

+ ( x + 3 )* 2 ( x - 4 ) * ( x - 4 )' = ( x - 4 )² + 2( x + 3 )( x - 4 )* ( 1 - 0 ) =

= ( x - 4 )² + 2( x + 3 )( x - 4 ) = ( x - 4 )( x - 4 + 2x + 6 ) = ( x - 4 )( 3x + 2 ) .

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