graph LR
    idea_0a13e3fb_6d65_4390_bf09_6c40ec26bee6["Concepts in Derivatives for Polynomial Functions"]
    idea_3e206f36_53f8_4bf5_af06_b21e99bd245f["Function Values and Evaluation in Calculus"]
    idea_471bce9f_873f_417d_bc53_bc3dd3dffa61["Derivatives in Single Variable Calculus"]
    idea_48582d88_e604_4301_a436_dd2db0da061d["Average Value Theorem for Integrals"]
    idea_49431d81_2575_457f_81e8_aba63b6fa289["Slope of a Line Through Two Points in Coordinate Geometry"]
    idea_505fad2b_94b7_4353_b0d0_25a51553e147["Implicit Differentiation: Tangent Slopes on Implicit Curves"]
    idea_50f6e783_b697_47f6_b0d7_621ec0f194c8["Definite Integrals as Signed Area Under Curves"]
    idea_55b7106a_01bb_4edb_8e52_9dc5d154c836["Antidifferentiation"]
    idea_5e182967_cf15_4dfc_9d6d_1aa0e3506a1b["Continuity of a Function at a Point"]
    idea_62869d6e_2af0_4299_8594_547765ff41e3["Difference Quotient and Average Rate of Change"]
    idea_79fb9a01_dbc6_43f5_98aa_6d6427e3f33a["Derivatives of Trigonometric Functions like Sine and Cosine"]
    idea_7fdd9f00_b047_40ee_9911_d2c9e28999ec["Chain Rule Applications in Single Variable Calculus"]
    idea_86ea7ff3_b4e6_4d13_9b57_7d7e4febda47["Higher-Order Derivatives and Their Kinematic Interpretation"]
    idea_8b719f1b_6e19_45d7_b192_5368f2575cbd["The Derivative of Exponential Functions and Why e Is Special"]
    idea_8cfe212f_4c6c_46b6_bc12_0ffd81fe05d5["Natural Logarithm Definition as a Constant Base Exponent"]
    idea_8f4bd6fa_5acb_4eec_a93f_57fef89012c3["Integral as Accumulated Summation Limit"]
    idea_92f49ee5_9cc6_4a6b_a656_084a0285f062["Differentiation Rules in Real Analysis"]
    idea_93d14331_7850_46dc_8b1f_b9755b66e8c6["Taylor Series Expansion of Functions via Derivatives at a Point"]
    idea_942a577d_aef5_431b_ad5f_8de2f5e2930f["Slopes and Tangent Lines in Calculus"]
    idea_9898bf5f_303e_44bf_9ae8_88469be7f5a8["Geometric Interpretation of Tangent Lines at a Point"]
    idea_a12b4aa4_c29b_49c2_b6f2_a1cfb3a7b450["Calculus Fundamentals (Derivatives)"]
    idea_a54f8ca4_8b28_456d_9307_581ed1a79c67["L'Hôpital's Rule for Indeterminate Form Limits"]
    idea_a812e5ee_7ee8_4c47_a3e7_23af5ab7b490["Chain Rule Application in Multivariable Calculus"]
    idea_b26e0995_d1ea_4500_b97e_aeed068d9294["Product Rule Techniques in Differentiation"]
    idea_ce4515ee_6a0b_41e7_b93d_3d2ac52ec6d6["Chain Rule for Higher Order Derivatives in Real Analysis"]
    idea_d3041c66_d79a_4777_a651_e913a1a60b47["Chain Rule Application for Composite Functions in Calculus"]
    idea_e443c202_e0c6_46fe_86e2_fddb29f03b5a["The Product Rule and Chain Rule for Derivatives"]
    idea_e8ddec1f_cf35_4e84_84c0_6ad6dca3cadb["Graphing Curvature Concepts in Functions"]
    idea_e91bf190_458c_4c4b_9d01_b231f0513435["Limits of Functions and Indeterminate Forms"]
    idea_f3cd8ca5_4b24_425f_9595_87cea67fca82["Exponential Function Properties in Algebra"]
    idea_79fb9a01_dbc6_43f5_98aa_6d6427e3f33a --> idea_e443c202_e0c6_46fe_86e2_fddb29f03b5a
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    idea_a12b4aa4_c29b_49c2_b6f2_a1cfb3a7b450 --> idea_48582d88_e604_4301_a436_dd2db0da061d
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    idea_e8ddec1f_cf35_4e84_84c0_6ad6dca3cadb --> idea_86ea7ff3_b4e6_4d13_9b57_7d7e4febda47
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    idea_a812e5ee_7ee8_4c47_a3e7_23af5ab7b490 --> idea_8b719f1b_6e19_45d7_b192_5368f2575cbd
    idea_9898bf5f_303e_44bf_9ae8_88469be7f5a8 --> idea_93d14331_7850_46dc_8b1f_b9755b66e8c6
    idea_0a13e3fb_6d65_4390_bf09_6c40ec26bee6 --> idea_e443c202_e0c6_46fe_86e2_fddb29f03b5a
    idea_8cfe212f_4c6c_46b6_bc12_0ffd81fe05d5 --> idea_8b719f1b_6e19_45d7_b192_5368f2575cbd
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    idea_7fdd9f00_b047_40ee_9911_d2c9e28999ec --> idea_505fad2b_94b7_4353_b0d0_25a51553e147
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    idea_5e182967_cf15_4dfc_9d6d_1aa0e3506a1b --> idea_a12b4aa4_c29b_49c2_b6f2_a1cfb3a7b450
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