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Everything about Implicit differentiation
Mathematical operation in calculus
In calculus, implicit differentiation is a method for finding the derivative of a function that is defined by an equation rather than by an explicit formula. If an equation such as defines as a function of, at least locally, implicit differentiation treats as a function and differentiates both sides of the equation with respect to. The method is an application of the chain rule. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Implicit differentiationA 5-minute orientation
- Skim a recent paper: Wnt signaling: Essential roles in osteoblast differentiation, bone metabolism and therapeutic implications for bone and skeletal disordersInfluential work since 2022
- Pick up a classic book: The Implicit Function TheoremThe most-reprinted book on the subject
- Read the landmark paper: Measuring individual differences in implicit cognition: The implicit association test.Cited 8,135 times
- Go sideways: Implicit curveA closely related topic
- Go sideways: Symmetry of second derivativesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Measuring individual differences in implicit cognition: The implicit association test.
Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition
A new efficient algorithm for solving differential-algebraic systems using implicit backward differentiation formulas
Implicit r-point block backward differentiation formula for solving first-order stiff ODEs
SpikingBERT: Distilling BERT to Train Spiking Language Models Using Implicit Differentiation
Comparison between the variational and implicit differentiation approaches to shape design sensitivities
Boundary element implicit differentiation equations for design sensitivities of axisymmetric structures
Linear implicit differentiation formulas of variable step and order
🆕 Influential since 2022
Wnt signaling: Essential roles in osteoblast differentiation, bone metabolism and therapeutic implications for bone and skeletal disorders
Dynamic Locational Marginal Emissions via Implicit Differentiation
Beyond Backpropagation: Bilevel Optimization Through Implicit Differentiation and Equilibrium Propagation
An inverse mapping approach for process systems engineering using automatic differentiation and the implicit function theorem
Equilibrium Image Denoising With Implicit Differentiation
📚 Books worth reading
The Implicit Function TheoremSteven G. G. Krantz, Harold R. Parks · 2012- 📕Evaluation of implicit formulas for the solution of ODEsLawrence F. Shampine · 1979
- 📕KAM tori for perturbations of the defocusing NLS equationMassimiliano Berti · 2018
Schaum's Easy OutlineMurray R. Spiegel, Robert Moyer · 1999
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Implicit curve In mathematics, an implicit curve is a plane curve defined by an implicit equation relating two coordinate variables, commonly x and y. For example, the…
- Symmetry of second derivatives In mathematical analysis, the symmetry of second derivatives (also called the equality of mixed partials) is the fact that exchanging the order of partial…
- Implicit surface In mathematics, an implicit surface is a surface in Euclidean space defined by an equation F(x,y,z)=0. An implicit surface is the set of zeros of a function…
- Implicit function theorem In multivariable calculus, the implicit function theorem is a theorem that provides sufficient conditions under which a planar curve specified by F(x,y)=0…
- Implicit function In mathematics, an implicit equation is a relation of the form R(x1,…,xn)=0, where R is a function of several variables (often a polynomial). For example…
- Tangent In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at…
- Ordinary differential equation In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other…
- Linear differential equation In mathematics, a linear differential equation is a differential equation that is linear in the unknown function and its derivatives, so it can be written…