Advanced Math Archive: Questions from December 18, 2023
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Given \( f(x, y)=-\left(6 x^{3} y+7 x y^{5}\right) \) \[ \begin{array}{l} \frac{\partial^{2} f}{\partial x^{2}}= \\ \frac{\partial^{2} f}{\partial y^{3}}= \end{array} \]1 answer -
I. Hallar la primera derivada de las funciones siguientes: 1. \( f(x)=10 \) 2. \( f(x)=-3 x+5 \) 3. \( f(x)=3 x^{2} \) 4. \( f(x)=4 x^{2}-x+6 \) 5. \( f(x)=x^{3}+x \) 6. \( f(x)=-x^{3}+15 x^{2}-x \) 71 answer -
2 Find the values of \( k \) for which the line \( y=k x-3 \) is) a tangent to the curve \( y=2 x^{2}+4 x \) 3 is a tangent to the curve \( y=2 x^{2}+4 x+x \) \[ y^{\prime}=k \] \[ y=4 x+4 \]1 answer