2 câu trả lời
Đáp án:
Giải thích các bước giải:
`y=x^2.e^{\root[3]{x}}`
`y'=(x^2.e^{\root[3]{x}})'`
`y'=(x^2)'.(e^{\root[3]{x}})+(e^{\root[3]{x}})'.(x^2)`
`y'=2x.e^{\root[3]{x}}+e^{\root[3]{x}}.(\root[3]{x})'.(x^2)`
`y'=2x.e^{x^{1/3}}+e^{x^{1/3}}.(x^{1/3})'.(x^2)`
`y'=2x.e^{x^{1/3}}+e^{x^{1/3}}.[1/3 . x^{1/3-1} . (x)'].(x^2)`
`y'=2x.e^{x^{1/3}}+e^{x^{1/3}}.[1/3 . x^{-2/3}].(x^2)`
`y'=2x.e^{x^{1/3}}+e^{x^{1/3}}.[1/3 . \frac{1}{x^{2/3}}].(x^2)`
`y'=2x.e^{x^{1/3}}+\frac{e^{x^{1/3}}.x^2}{3x^{2/3}}`
`y'=2x.e^{x^{1/3}}+\frac{e^{x^{1/3}}.x^{4/3}}{3}`
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