Question

Cho \( y=\left(x^{2}+e^{x}\right)^{x} \). ??o hàm \( y^{\prime} \) là: Select one: a. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(x^{2}+e^{x}\right)+\frac{2 x^{2}+x e^{x}}{x^{2}+e^{x}}\right) \) b. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(x^{2}+e^{x}\right)+\frac{2 x^{2}+e^{x}}{x^{2}+e^{x}}\right) \) c. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(2 x+e^{x}\right)+\frac{2 x^{2}+x e^{x}}{x^{2}+e^{x}}\right) \) d. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(2 x+e^{x}\right)+\frac{2 x^{2}+e^{x}}{x^{2}+e^{x}}\right) \) Cho hàm s? \( y=\frac{e^{2 x}}{3 x+1} \), giá tr? \( y^{\prime}(0) \) là: Select one: a. \( y^{\prime}(0)=-5 \) b. \( y^{\prime}(0)=-4 \) c. \( y^{\prime}(0)=-3 \) d. \( y^{\prime}(0)=-2 \)

          Cho \( y=\left(x^{2}+e^{x}\right)^{x} \). ??o hàm \( y^{\prime} \) là:
Select one:
a. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(x^{2}+e^{x}\right)+\frac{2 x^{2}+x e^{x}}{x^{2}+e^{x}}\right) \)
b. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(x^{2}+e^{x}\right)+\frac{2 x^{2}+e^{x}}{x^{2}+e^{x}}\right) \)
c. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(2 x+e^{x}\right)+\frac{2 x^{2}+x e^{x}}{x^{2}+e^{x}}\right) \)
d. \( y^{\prime}=\left(x^{2}+e^{x}\right)^{x} \times\left(\ln \left(2 x+e^{x}\right)+\frac{2 x^{2}+e^{x}}{x^{2}+e^{x}}\right) \)

Cho hàm s? \( y=\frac{e^{2 x}}{3 x+1} \), giá tr? \( y^{\prime}(0) \) là:
Select one:
a. \( y^{\prime}(0)=-5 \)
b. \( y^{\prime}(0)=-4 \)
c. \( y^{\prime}(0)=-3 \)
d. \( y^{\prime}(0)=-2 \)

Cho y=(x^2+e^x)^x. ??o hàm y^' là:
Select one:
a. y^'=(x^2+e^x)^x×(ln(x^2+e^x)+(2 x^2+x e^x)/(x^2+e^x))
b. y^'=(x^2+e^x)^x×(ln(x^2+e^x)+(2 x^2+e^x)/(x^2+e^x))
c. y^'=(x^2+e^x)^x×(ln(2 x+e^x)+(2 x^2+x e^x)/(x^2+e^x))
d. y^'=(x^2+e^x)^x×(ln(2 x+e^x)+(2 x^2+e^x)/(x^2+e^x))

Cho hàm s? y=(e^2 x)/(3 x+1), giá tr? y^'(0) là:
Select one:
a. y^'(0)=-5
b. y^'(0)=-4
c. y^'(0)=-3
d. y^'(0)=-2

Added by Gregory S.

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