Inverse function theorem: Difference between revisions

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Example: use a consistent notation
Line 42:
\end{bmatrix}.
</math>
The Jacobian matrix of it at <math>(x, y)</math> is:
:<math>
J_FJF(x,y)=
\begin{bmatrix}
{e^x \cos y} & {-e^x \sin y}\\
Line 50:
\end{bmatrix}
</math>
with Jacobianthe determinant:
:<math>
\det J_FJF(x,y)=
e^{2x} \cos^2 y + e^{2x} \sin^2 y=
e^{2x}.