Pochodne
: 9 lut 2009, o 14:02
Wyznaczyć ekstremum:
\(\displaystyle{ f(x,y) = e^{2y} (y+x^{2})}\)
ekstremum to sprawia mi problem ze względu na wyliczenie pochodnych \(\displaystyle{ e^{2y} (y+x^{2})}\). proszę o pomoc, jak wyliczyć kolejno
\(\displaystyle{ \frac{\delta f(x, y)}{\delta x}=0}\)
\(\displaystyle{ \frac{\delta f(x, y)}{\delta y}=0}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta x^{2}}}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta x \delta y}}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta y \delta x}}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta y^{2}}}\)
\(\displaystyle{ f(x,y) = e^{2y} (y+x^{2})}\)
ekstremum to sprawia mi problem ze względu na wyliczenie pochodnych \(\displaystyle{ e^{2y} (y+x^{2})}\). proszę o pomoc, jak wyliczyć kolejno
\(\displaystyle{ \frac{\delta f(x, y)}{\delta x}=0}\)
\(\displaystyle{ \frac{\delta f(x, y)}{\delta y}=0}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta x^{2}}}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta x \delta y}}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta y \delta x}}\)
\(\displaystyle{ \frac{\delta^{2}f(x_{0}, y_{0})}{\delta y^{2}}}\)