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Mathematics-Online lexicon:

Tangent


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The tangent of a differentiable parametrized curve $ t\mapsto(f_1(t),\ldots,f_n(t))^{\operatorname t}$ in the point $ f\left(t_0\right)$ is the line

$\displaystyle f(t_0) + f^\prime(t_0)(t-t_0)\, , \quad t \in \mathbb{R}
$

provided at least one component $ f^\prime_i(t_0)$ of the tangent vector is different from zero.
\includegraphics[width=0.55\linewidth]{a_tangente}

()

Examples:


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  automatically generated 5/30/2011