@prefix concept: <https://w3id.org/kmath/concept/> .
@prefix course: <https://w3id.org/kmath/course/> .
@prefix math: <https://w3id.org/kmath/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix review_status: <https://w3id.org/kmath/review_status/> .
@prefix scheme: <https://w3id.org/kmath/scheme/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix textbook_section: <https://w3id.org/kmath/textbook_section/> .

concept:exp_log_derivative a math:Concept ;
    rdfs:label "지수함수와 로그함수의 미분"@ko ;
    skos:definition "지수함수와 로그함수의 극한을 이용하여 구한 도함수로, (eˣ)′ = eˣ, (aˣ)′ = aˣ ln a, (ln x)′ = 1/x이다."@ko ;
    skos:editorialNote "2026-09-28 개념 모델 정비에서 2022 개정 교육과정 성취기준을 근거로 추가했다. 도메인 전문가 검토가 필요하다."@ko ;
    skos:inScheme scheme:concepts ;
    skos:prefLabel "derivatives of exponential and logarithmic functions"@en,
        "지수함수와 로그함수의 미분"@ko ;
    skos:topConceptOf scheme:concepts ;
    math:introducedIn course:calculus_2 ;
    math:requires concept:derivative,
        concept:logarithmic_function,
        concept:natural_log_base_e ;
    math:requiresTransitively concept:average_rate_of_change,
        concept:coordinate_plane,
        concept:derivative,
        concept:differential_coefficient,
        concept:direct_proportion,
        concept:domain_codomain_range,
        concept:exponent_law,
        concept:exponential_function,
        concept:function,
        concept:function_composition,
        concept:function_graph,
        concept:function_limit,
        concept:graph,
        concept:integer,
        concept:integer_exponent,
        concept:inverse_function,
        concept:inverse_proportion,
        concept:irrational_number,
        concept:linear_function,
        concept:logarithm,
        concept:logarithmic_function,
        concept:natural_log_base_e,
        concept:nth_root,
        concept:nth_root_properties,
        concept:one_to_one_correspondence,
        concept:power,
        concept:rational_exponent,
        concept:rational_number,
        concept:real_exponent,
        concept:real_nth_root,
        concept:repeating_decimal,
        concept:set,
        concept:square_root ;
    math:reviewStatus review_status:needs_review ;
    math:sourceSection textbook_section:national_curriculum_2022_calculus_2_differentiation,
        textbook_section:national_curriculum_2022_calculus_2_integration ;
    math:taughtIn course:calculus_2 .