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Alekseyiz
@Alekseyiz
August 2022
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Найти производную функции а)y=5^x+sinx б)y=-x·e^2x в)y=10^x+e^-x
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ktgmicha1
Y=5^x+sinx
y'=(5^x+sinx)'=5^x*ln5+cosx
y=-x*e^2x
y'=(-x*e^2x)'=(-x)'*e^2x+(-x)*(e^2x)'=-1*e^2x-x*2*e^2x=-e^2x*(1-2x)
y=10^x+e^-x
y'=(10^x+e^-x)'=10^x*ln10-e^-x
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Answers & Comments
y'=(5^x+sinx)'=5^x*ln5+cosx
y=-x*e^2x
y'=(-x*e^2x)'=(-x)'*e^2x+(-x)*(e^2x)'=-1*e^2x-x*2*e^2x=-e^2x*(1-2x)
y=10^x+e^-x
y'=(10^x+e^-x)'=10^x*ln10-e^-x