Решение:
f'(x)=d/dx(5x⁶-cos(3x)+4^x
f'(x)=d/dx(5x⁶)-d/dx(cos(3x))+d/dx(4^x)
Упрощаем
f'(x)=5•6x⁵-(-sin(3x)•3)+ln(4)•4^(x)
f'(x)=30x⁵+3sin(3x)+ln(4)•4^(x)
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Verified answer
Решение:
f'(x)=d/dx(5x⁶-cos(3x)+4^x
f'(x)=d/dx(5x⁶)-d/dx(cos(3x))+d/dx(4^x)
Упрощаем
f'(x)=5•6x⁵-(-sin(3x)•3)+ln(4)•4^(x)
f'(x)=30x⁵+3sin(3x)+ln(4)•4^(x)