填空题 设函数$$ y = \ln(x + \sqrt{1 + x^2}) $$，则$$ \frac{dy}{dx} = $$______，$$ \frac{dy}{dx}\big|_{x=1} = $$______，$$ \frac{d^2y}{dx^2} = $$______，$$ dy = $$______，$$ dy\big|_{x=1} = $$______【缺少答案，请补充】

填空题 设函数$$ y = xe^{2x} $$，则$$ \frac{dy}{dx} = $$______，$$ \frac{dy}{dx}\big|_{x=1} = $$______，$$ \frac{d^2y}{dx^2} = $$______，$$ dy = $$______，$$ dy\big|_{x=1} = $$______【缺少答案，请补充】

填空题 设函数$$ y = x\ln(x + 1) $$，则$$ \frac{dy}{dx} = $$______，$$ \frac{dy}{dx}\big|_{x=1} = $$______，$$ \frac{d^2y}{dx^2} = $$______，$$ dy = $$______，$$ dy\big|_{x=1} = $$______【缺少答案，请补充】

单选题 下列函数中在$$ x = 0 $$处连续且可导的是

填空题 设函数$$ y = x^2e^x $$，则$$ \frac{dy}{dx} = $$______，$$ dy = $$______，$$ dy\big|_{x=1} = $$______，$$ \frac{dy}{dx}\big|_{x=1} = $$______，$$ \frac{d^2y}{dx^2} = $$______【缺少答案，请补充】

填空题 设函数$$ y = x\sin x $$，则$$ \frac{dy}{dx} = $$______，$$ \frac{dy}{dx}\big|_{x=1} = $$______，$$ \frac{d^2y}{dx^2} = $$______，$$ dy = $$______，$$ dy\big|_{x=1} = $$______【缺少答案，请补充】

单选题 下列命题错误的是

填空题 设函数$$ y = x^2\ln x $$，则$$ \frac{dy}{dx} = $$______，$$ \frac{dy}{dx}\big|_{x=1} = $$______，$$ \frac{d^2y}{dx^2} = $$______，$$ dy = $$______，$$ dy\big|_{x=1} = $$______【缺少答案，请补充】