About: Chain rule

Property	Value
dbo:description	mathematischer Satz (de) правило, що дозволяє обчислити похідну композиції функцій (uk) правило, позволяющее вычислить производную композиции функций (ru) derivacion Implícita (es) differentiaalilaskennan sääntö (fi) method of differentiating composed functions (en) método para derivar funções compostas (pt) regola di derivazione di una funzione composta (it) regulă în analiza matematică (ro) règle de dérivation des fonctions composées (fr) własność różniczkowania i niektórych innych operatorów w matematyce (pl) 합성함수의 미분법 (ko)
dbo:thumbnail	wiki-commons:Special:FilePath/Chain_rule_en.png?width=300
dbo:wikiPageWikiLink	dbr:Difference_quotient dbr:Integral dbr:Lipschitz_continuity dbr:Fréchet_derivative dbr:Dependent_variable dbr:Constantin_Carathéodory dbc:Theorems_in_calculus dbr:Calculus dbr:Gottfried_Wilhelm_Leibniz dbr:Leibniz's_notation dbr:Leonhard_Euler dbr:Product_rule dbr:Differentiable_function dbr:Formula dbr:Real_number dbr:Derivative dbr:Limit_of_a_function dbr:Banach_space dbr:Continuous_function dbr:Function_composition dbr:Functor dbr:Total_derivative dbr:Polynomial_remainder_theorem dbr:Semimartingale dbr:Banach_manifold dbr:Dot_product dbr:Partial_derivative dbr:Tangent_bundle dbr:Manifold dbr:Hölder_condition dbr:Kähler_differential dbr:Faà_di_Bruno's_formula dbr:Guillaume_de_l'Hôpital dbr:Inverse_function dbc:Theorems_in_analysis dbc:Articles_containing_proofs dbr:Étienne_Bézout dbr:Commutative_ring dbr:Division_by_zero dbr:Stochastic_calculus dbr:Ring_homomorphism dbr:Directional_derivative dbr:Differential_algebra dbr:Quadratic_variation dbc:Differentiation_rules dbr:George_F._Simmons dbr:Jacobian_matrix dbr:Leibniz_notation dbr:Lagrange's_notation dbr:Multi-variable_function dbr:Analyse_des_infiniment_petits dbr:Substitution_rule dbr:Itō's_lemma dbr:Standard_part
dbp:id	Leibniz_rule (en)
dbp:title	Chain Rule (en) Leibniz rule (en)
dbp:urlname	ChainRule (en)
dbp:wikiPageUsesTemplate	dbt:Calculus dbt:= dbt:Annotated_link dbt:Calculus_topics dbt:Citation_needed dbt:Cite_journal dbt:Main dbt:Math dbt:MathWorld dbt:Mvar dbt:Other_uses dbt:Reflist dbt:See_also dbt:Short_description dbt:Springer
dct:subject	dbc:Theorems_in_calculus dbc:Theorems_in_analysis dbc:Articles_containing_proofs dbc:Differentiation_rules
rdf:type	owl:Thing owl:Thing
rdfs:label	Chain rule (en) Regla de la cadena (ca) Řetízkové pravidlo (cs) قاعدة السلسلة (ar) Kettenregel (de) Derivaĵo de funkcia komponaĵo (eo) Katearen erregela (eu) Regla de la cadena (es) Kaidah rantai (in) Théorème de dérivation des fonctions composées (fr) Regola della catena (it) 연쇄 법칙 (ko) 連鎖律 (ja) Kettingregel (nl) Regra da cadeia (pt) Reguła łańcuchowa (pl) Kedjeregeln (sv) Диференціювання складної функції (uk) Дифференцирование сложной функции (ru) 链式法则 (zh)
rdfs:seeAlso	dbr:Quotient_rule dbr:Nonstandard_calculus
owl:sameAs	yago-res:Chain rule freebase:Chain rule wikidata:Chain rule dbpedia-de:Chain rule dbpedia-es:Chain rule dbpedia-it:Chain rule dbpedia-nl:Chain rule dbpedia-pl:Chain rule dbpedia-tr:Chain rule dbpedia-fr:Chain rule dbpedia-he:Chain rule dbpedia-hu:Chain rule dbpedia-ja:Chain rule dbpedia-pt:Chain rule dbpedia-ru:Chain rule dbpedia-zh:Chain rule dbpedia-sv:Chain rule dbpedia-id:Chain rule dbpedia-ko:Chain rule dbpedia-ca:Chain rule dbpedia-af:Chain rule dbpedia-ar:Chain rule dbpedia-bs:Chain rule dbpedia-cs:Chain rule dbpedia-cv:Chain rule dbpedia-eo:Chain rule dbpedia-eu:Chain rule dbpedia-fa:Chain rule dbpedia-fi:Chain rule dbpedia-hi:Chain rule dbpedia-hy:Chain rule dbpedia-is:Chain rule dbpedia-nn:Chain rule dbpedia-pms:Chain rule dbpedia-sh:Chain rule dbpedia-simple:Chain rule dbpedia-sl:Chain rule dbpedia-sr:Chain rule dbpedia-ta:Chain rule dbpedia-th:Chain rule dbpedia-tl:Chain rule dbpedia-uk:Chain rule dbpedia-global:Chain rule
prov:wasDerivedFrom	wikipedia-en:Chain_rule?oldid=1308059343&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Chain_rule_en.png
foaf:isPrimaryTopicOf	wikipedia-en:Chain_rule
is dbo:notableIdea of	dbr:Gottfried_Wilhelm_Leibniz
is dbo:wikiPageDisambiguates of	dbr:Chain_(disambiguation) dbr:Chain_rule_(disambiguation)
is dbo:wikiPageRedirects of	dbr:Chain_Rule dbr:Chain_rule_(several_variables) dbr:Differentiation_by_substitution dbr:Multivariable_chain_rule dbr:Reciprocal_Rule dbr:THE_CHAIN_RULE
is dbo:wikiPageWikiLink of	dbr:Liouville's_formula dbr:Antiderivative_(complex_analysis) dbr:Area_theorem_(conformal_mapping) dbr:List_of_calculus_topics dbr:Wirtinger_derivatives dbr:Kullback–Leibler_divergence dbr:Line_integral dbr:Piston_motion_equations dbr:Fréchet_derivative dbr:Adjoint_state_method dbr:Richards_equation dbr:List_of_real_analysis_topics dbr:Constantin_Carathéodory dbr:Einstein_relation_(kinetic_theory) dbr:Second_derivative dbr:Differentiable_manifold dbr:Aizik_Volpert dbr:Itô_diffusion dbr:J-integral dbr:Triple_product_rule dbr:Classical_probability_density dbr:Incompressible_flow dbr:Calculus dbr:Gottfried_Wilhelm_Leibniz dbr:Integral_test_for_convergence dbr:Leibniz's_notation dbr:Leibniz_integral_rule dbr:Newton's_laws_of_motion dbr:Product_rule dbr:Quotient_rule dbr:Theoretical_computer_science dbr:Matrix_calculus dbr:Abel's_identity dbr:Automatic_differentiation dbr:Conservative_vector_field dbr:College_Scholastic_Ability_Test dbr:Acceleration dbr:Logarithm dbr:Connection_(mathematics) dbr:Derivative dbr:Differential_invariant dbr:Bernoulli_differential_equation dbr:Integrating_factor dbr:Exponential_function dbr:Function_composition dbr:Grönwall's_inequality dbr:Conservation_law dbr:Calculus_of_moving_surfaces dbr:Cnoidal_wave dbr:Complex_quadratic_polynomial dbr:Total_derivative dbr:Heat_equation dbr:Wasserstein_GAN dbr:Method_of_characteristics dbr:Jacobian_matrix_and_determinant dbr:Arc_length dbr:Feedback_linearization dbr:Van_Hove_singularity dbr:Inverse_function_theorem dbr:Autonomous_system_(mathematics) dbr:Homochirality dbr:Distribution_of_the_product_of_two_random_variables dbr:Schwarzian_derivative dbr:Gateaux_derivative dbr:Perturbation_theory_(quantum_mechanics) dbr:Vanishing_gradient_problem dbr:Conserved_quantity dbr:Integration_by_substitution dbr:Hamiltonian_field_theory dbr:Centripetal_force dbr:Charles_Babbage dbr:Euclidean_vector dbr:Tautochrone_curve dbr:Differential_calculus dbr:Gradient dbr:Josephson_effect dbr:Partial_derivative dbr:Fisher_information dbr:Median dbr:Rademacher's_theorem dbr:Acoustoelastic_effect dbr:Beltrami_identity dbr:Covariant_transformation dbr:D-module dbr:Itô_calculus dbr:Inverse_function_rule dbr:Gradient_theorem dbr:Experimental_uncertainty_analysis dbr:Feedforward_neural_network dbr:Logarithmic_derivative dbr:Ximera dbr:Phase_reduction dbr:Material_derivative dbr:Change_of_variables dbr:Backpropagation dbr:Hellmann–Feynman_theorem dbr:Curvature dbr:Frenet–Serret_formulas dbr:Geometric_function_theory dbr:Holomorphic_function dbr:Integration_by_parts dbr:Natural_logarithm dbr:Taylor's_theorem dbr:Pendulum_(mechanics) dbr:Quadrupole_ion_trap dbr:Price_equation dbr:Homogeneous_function dbr:Chain_(disambiguation) dbr:Scleronomous dbr:Maxwell's_equations_in_curved_spacetime dbr:Jacobi's_formula dbr:Differential_(mathematics) dbr:Differential_of_a_function dbr:Ideal_gas dbr:Vector_calculus_identities dbr:Differential_geometry_of_surfaces dbr:Pythagorean_trigonometric_identity dbr:Stuart_Dreyfus dbr:Unitary_transformation_(quantum_mechanics) dbr:Diffusion-limited_escape dbr:Exact_differential dbr:Liouville's_theorem_(differential_algebra) dbr:Free_entropy dbr:Gibbs–Helmholtz_equation dbr:Inductance dbr:Liénard–Wiechert_potential dbr:Quantum_potential dbr:Faà_di_Bruno's_formula dbr:Inverse_function dbr:Legendre_transformation dbr:Poisson_bracket dbr:Related_rates dbr:Implicit_curve dbr:Curvilinear_coordinates dbr:Univalent_function dbr:Differentiation_of_trigonometric_functions dbr:Delta_rule dbr:Jet_(mathematics) dbr:Logarithmic_differentiation dbr:Automorphic_form dbr:Cramér–Rao_bound dbr:Harley_Flanders dbr:Lagrangian_mechanics dbr:Computer_algebra dbr:Stratonovich_integral dbr:Non-analytic_smooth_function dbr:Stochastic_calculus dbr:Exponential_map_(Lie_theory) dbr:Adjoint_representation dbr:List_of_limits dbr:Molecular_Hamiltonian dbr:Power_rule dbr:Four-velocity dbr:Chain_rule_(disambiguation) dbr:Geodesics_in_general_relativity dbr:Bounded_variation dbr:Thermodynamic_potential dbr:Directional_derivative dbr:Implicit_function dbr:Tensor_field dbr:Sliding_mode_control dbr:Lagrangian_and_Eulerian_specification_of_the_flow_field dbr:Energy_release_rate_(fracture_mechanics) dbr:Metric_tensor dbr:Formal_power_series dbr:Method_of_steepest_descent dbr:Itô's_lemma dbr:Derivation_of_the_Navier–Stokes_equations dbr:Descent_(mathematics) dbr:Nome_(mathematics) dbr:Notation_for_differentiation dbr:Thermodynamic_equations dbr:Law_of_the_unconscious_statistician dbr:Glossary_of_calculus dbr:Roe_solver dbr:Copulas_in_signal_processing dbr:Affine_curvature dbr:Timeline_of_calculus_and_mathematical_analysis dbr:Differentiation_in_Fréchet_spaces dbr:Calculus_on_Euclidean_space dbr:Change_of_variables_(PDE) dbr:Approximate_limit dbr:Generalizations_of_the_derivative dbr:Boltzmann–Matano_analysis dbr:Tensors_in_curvilinear_coordinates dbr:Lie_group–Lie_algebra_correspondence dbr:Seppo_Linnainmaa dbr:Glossary_of_engineering:_M–Z dbr:Batch_normalization dbr:Isotropy_representation dbr:Quasi-derivative dbr:Generalized_structure_tensor dbr:Method_of_dominant_balance dbr:Chain_Rule dbr:Chain_rule_(several_variables) dbr:Differentiation_by_substitution dbr:Multivariable_chain_rule dbr:Reciprocal_Rule dbr:THE_CHAIN_RULE
is dbp:name of	dbr:Calculus_on_Euclidean_space
is dbp:notableIdeas of	dbr:Gottfried_Wilhelm_Leibniz
is rdfs:seeAlso of	dbr:Mean_value_theorem
is owl:differentFrom of	dbr:Snow_chains
is foaf:primaryTopic of	wikipedia-en:Chain_rule