Пошаговое объяснение:
f(x)=x⁹ - 3x⁵ - 3/x⁴ +2
f'(x)=(x⁹-3x⁵-3/x⁴+2)'=
=(x⁹)'+(-3x⁵)'-(3/x⁴)'+2'=
=9x⁸-3•5x⁴-(-3•4x³/(x⁴)²)+0=
=9x⁸-15x⁴-(-12x³/x⁸)=
=9x⁸-15x⁴+12/x⁵=(9x¹³-15x⁹+12)/x⁵
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Пошаговое объяснение:
f(x)=x⁹ - 3x⁵ - 3/x⁴ +2
f'(x)=(x⁹-3x⁵-3/x⁴+2)'=
=(x⁹)'+(-3x⁵)'-(3/x⁴)'+2'=
=9x⁸-3•5x⁴-(-3•4x³/(x⁴)²)+0=
=9x⁸-15x⁴-(-12x³/x⁸)=
=9x⁸-15x⁴+12/x⁵=(9x¹³-15x⁹+12)/x⁵