Ответ: ( x⁴ )' = 4x³ .
Пошаговое объяснение:
f( x ) = x⁴ = x³*x ;
f '( x ) = ( x⁴ )' = ( x³ )' * x + x³ * ( x )' = 3x² * x + x³ * 1 = 3x³ + 1 x³ = 4x³ ;
( x⁴ )' = 4x³ .
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Ответ: ( x⁴ )' = 4x³ .
Пошаговое объяснение:
f( x ) = x⁴ = x³*x ;
f '( x ) = ( x⁴ )' = ( x³ )' * x + x³ * ( x )' = 3x² * x + x³ * 1 = 3x³ + 1 x³ = 4x³ ;
( x⁴ )' = 4x³ .