Gradient of the function <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(x,y)={\frac {x}{e^{x^{2}+y^{2}}}}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mi>x</mi><msup><mi>e</mi><mrow class="MJX-TeXAtom-ORD"><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>y</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></mrow></msup></mfrac></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle f(x,y)={\frac {x}{e^{x^{2}+y^{2}}}}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8316a6465dd177764afb7fe47e92ccf910e5799b" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -2.338ex; width:16.56ex; height:5.176ex;" alt="{\displaystyle f(x,y)={\frac {x}{e^{x^{2}+y^{2}}}}}"></span> is plotted as blue arrows over the pseudo color plot of the function itself.
<a href="//commons.wikimedia.org/wiki/User:MartinThoma" title="User:MartinThoma">MartinThoma</a>
2015-02-08
<span class="int-own-work" lang="en">Own work</span>