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  2. Differential geometry of surfaces - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry_of...

    The key is that when one regards X 1 ⁠ ∂f / ∂u ⁠ + X 2 ⁠ ∂f / ∂v ⁠ as a ℝ 3-valued function, its differentiation along a curve results in second partial derivatives ∂ 2 f; the Christoffel symbols enter with orthogonal projection to the tangent space, due to the formulation of the Christoffel symbols as the tangential ...

  3. First fundamental form - Wikipedia

    en.wikipedia.org/wiki/First_fundamental_form

    Differentiating X(u,v) with respect to u and v yields = [⁡ ⁡ ⁡ ⁡], = [⁡ ⁡ ⁡ ⁡ ⁡]. The coefficients of the first fundamental form may be found by taking the dot product of the partial derivatives.

  4. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    Logarithmic differentiation is a technique which uses logarithms and its differentiation rules to simplify certain expressions before actually applying the derivative. [ citation needed ] Logarithms can be used to remove exponents, convert products into sums, and convert division into subtraction — each of which may lead to a simplified ...

  5. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    All differentiation rules can also be reframed as rules involving limits. For example, if g(x) is differentiable at x, ...

  6. Category:Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Category:Differentiation_rules

    Pages in category "Differentiation rules" The following 11 pages are in this category, out of 11 total. This list may not reflect recent changes. ...

  7. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let () = (), where both f and g are differentiable and ()

  8. UV mapping - Wikipedia

    en.wikipedia.org/wiki/UV_mapping

    The letters "U" and "V" denote the axes of the 2D texture because "X", "Y", and "Z" are already used to denote the axes of the 3D object in model space, while "W" (in addition to XYZ) is used in calculating quaternion rotations, a common operation in computer graphics.

  9. Inverse function rule - Wikipedia

    en.wikipedia.org/wiki/Inverse_function_rule

    In calculus, the inverse function rule is a formula that expresses the derivative of the inverse of a bijective and differentiable function f in terms of the derivative of f. More precisely, if the inverse of f {\displaystyle f} is denoted as f − 1 {\displaystyle f^{-1}} , where f − 1 ( y ) = x {\displaystyle f^{-1}(y)=x} if and only if f ...

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