Chapter D1: Limits and continuity

d1-1_the_concept_of_limit.pdf | |
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d1-2_graphical_and_numerical_methods_for_limits.pdf | |
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d1-3_basic_properties_of_limits.pdf | |
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d1-4_vertical_asymptotes.pdf | |
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d1-5_limits_at_infinity_and_horizontal_asymptotes.pdf | |
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d1-6_continuity.pdf | |
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d1-7_discontinuities.pdf | |
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Chapter D2: Resolving indeterminate forms

d2-1_indeterminate_forms.pdf | |
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d2-2_factor_and_cancel.pdf | |
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d2-3_the_method_of_rationalizing.pdf | |
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d2-4_combining_fractions_and_logarithms.pdf | |
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d2-5_basic_trigonometric_limits.pdf | |
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d2-6_other_transcendental_limits.pdf | |
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d2-7_limits_for_parametric_and_polar_curves.pdf | |
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Chapter D3: Definition of derivative

d3-1_derivative_at_a_point.pdf | |
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d3-2_derivative_function.pdf | |
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d3-3_interpretation_and_applications_of_derivatives.pdf | |
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d3-4_differentials.pdf | |
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Chapter D4: Basic differentiation rules

d4-1_what_a_differentiation_rule_is.pdf | |
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d4-2_five_easy_differentiation_rules.pdf | |
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d4-3_product_quotient_and_power_rules.pdf | |
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d4-4_chain_rule.pdf | |
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d4-5_implicit_differentiation.pdf | |
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d4-6_derivatives_of_inverse_functions.pdf | |
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d4-7_higher_order_derivatives.pdf | |
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Chapter D5: Derivatives of transcendental functions

d5-1_derivatives_of_logarithmic_functions.pdf | |
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d5-2_logarithmic_differentiation.pdf | |
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d5-3_derivatives_of_hyperbolic_functions.pdf | |
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d5-4_derivatives_of_inverse_hyperbolic_functions.pdf | |
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d5-5_derivatives_of_trigonometric_functions.pdf | |
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d5-6_derivatives_of_inverse_trigonometric_functions.pdf | |
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Chapter D6: Derivatives for other types of functions

d6-1_partial_derivatives.pdf | |
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d6-2_some_uses_of_partial_derivatives.pdf | |
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d6-3_higher_order_partial_derivatives.pdf | |
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d6-4_slopes_and_tangent_lines_for_parametric_curves.pdf | |
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d6-5_slopes_and_tangents_for_polar_curves.pdf | |
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Chapter D7: Linear approximation methods

d7-1_linearization_of_a_function.pdf | |
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d7-2_error_estimates.pdf | |
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d7-3_newtons_method.pdf | |
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Chapter D8: Graphical analysis

d8-1_extreme_points.pdf | |
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d8-2_first_derivative_analysis.pdf | |
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d8-3_second_derivative_analysis.pdf | |
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d8-4_lhospital_rule.pdf | |
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d8-5_graph_sketching.pdf | |
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d8_a1_sample_functions_to_analyze.pdf | |
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d8-a2_main_graphical_features_of_a_function.pdf | |
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Chapter D9: Word problems

d9-1_what_a_word_problem_is.pdf | |
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d9-2_related_rates_problems.pdf | |
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d9-3_optimization_problems.pdf | |
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basic_derivative_and_integral_formulae.pdf | |
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