共50条信息
若曲线\(y={{x}^{-\frac{1}{2}}}\)在点\(\left(a,{a}^{- \frac{1}{2}}\right) \)处的切线与两个坐标轴围成的三角形的面积为\(18\),则\(a=\) \((\) \()\)
设\(f(x)\)存在导函数,且满足\(\overset\lim{∆x→0} \dfrac{f\left(1\right)-f\left(1-2∆x\right)}{2∆x}=-1 \),则曲线\(y=f(x)\)上点\((1,f(1))\)处的切线斜率为 \((\) \()\)
已知函数\(y=f(x)\)的图象如图,\(f′(x_{A})\)与\(f′(x_{B})\)的大小关系是 \((\) \()\)
若曲线\(y=f(x)=\ln x+ax^{2}(a\)为常数\()\)不存在斜率为负数的切线,则实数\(a\)的取值范围是\((\) \()\)
设\(f(x)\)为可导函数,且满足\(\underset{h\to 0}{{\lim }}\,\dfrac{f(2)-f(2-h)}{2h}=-1\),则曲线\(y=f(x)\)在点\(\left( 2,f(2) \right)\)处的切线的斜率是\((\) \()\)
若\(\lim\limits_{{\triangle }x{→}0}\dfrac{f(x_{0}{+}2{\triangle }x){-}f(x_{0})}{3{\triangle }x}{=}1\),则\(f{{{{"}}}}(x_{0})\)等于\(({ })\)
曲线\(f(x)=x^{3}+x-2\)在\(p_{0}\)点处的切线与直线\(y=4x-1\)平行,则\(p_{0}\)点的坐标为 \((\) \()\)
曲线\(y=x^{3}-2x\)在点\((1,-1)\)处的切线方程是\((\) \()\)
已知函数\(f\left( x \right)={{e}^{x}}-mx+1\)的图像为曲线\(C\),若曲线\(C\)存在与直线少\(y=ex\)垂直的切线,则实数\(m\)的取值范围是\((\) \()\)
进入组卷