16 uždavinys
Sprendimas:
( x* e^x)′ =
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( x* e^x)′ = $$(x\cdot e^{x})'$$ =
Paaiškinimas: ( x′* e^x+ x* ( e^x)′) = $$(x'\cdot e^{x}+x\cdot (e^{x})')$$ =
x′* e^x+ x* ( e^x)′ = $$x'\cdot e^{x}+x\cdot (e^{x})'$$ =
Paaiškinimas: 1* e^x+ x* ( e^x)′ = $$1\cdot e^{x}+x\cdot (e^{x})'$$ =
e^x+ x* ( e^x)′ = $$e^{x}+x\cdot (e^{x})'$$ =
Paaiškinimas: e^x+ x* e^x$$e^{x}+x\cdot e^{x}$$
Atsakymas: $$e^{x}+x\cdot e^{x}$$