AP®︎/College Calculus AB

1 About the Course Free 2 video(s) ● 2 Define limits and use limit notation Free 1 video(s) ● 3 Estimate limit values from graphs Free 8 video(s) ● 4 Estimate limit values from tables 🔒 Pro 3 video(s) ● 6 Determine limits using algebraic properties of limits: limit properties 🔒 Pro 7 video(s) 7 Determine limits using algebraic properties of limits: direct substitution 🔒 Pro 5 video(s) 9 Determine limits using algebraic manipulation 🔒 Pro 4 video(s) 10 Select procedures for determining limits 🔒 Pro 1 video(s) 11 Determine limits using the squeeze theorem 🔒 Pro 3 video(s) 13 Explore types of discontinuities 🔒 Pro 1 video(s) 14 Define continuity at a point 🔒 Pro 4 video(s) 15 Confirm continuity over an interval 🔒 Pro 3 video(s) 16 Remove discontinuities 🔒 Pro 2 video(s) 18 Connect infinite limits and vertical asymptotes 🔒 Pro 4 video(s) 19 Connect limits at infinity and horizontal asymptotes 🔒 Pro 6 video(s) 21 Work with the intermediate value theorem 🔒 Pro 4 video(s) 23 Optional videos 🔒 Pro 4 video(s) 24 Free response questions: limits and continuity 🔒 Pro 1 video(s) 18 Applications of integration: Unit test 🔒 Pro

1 Define average and instantaneous rates of change at a point 🔒 Pro 4 video(s) 2 Define the derivative of a function and use derivative notation 🔒 Pro 6 video(s) 3 Estimate derivatives of a function at a point 🔒 Pro 1 video(s) 4 Connect differentiability and continuity: determine when derivatives do and do not exist 🔒 Pro 4 video(s) 6 Apply the power rule 🔒 Pro 2 video(s) 7 Derivative rules: constant, sum, difference, and constant multiple: introduction 🔒 Pro 3 video(s) 8 Derivative rules: constant, sum, difference, and constant multiple: connect with the power rule 🔒 Pro 3 video(s) 10 Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x) 🔒 Pro 4 video(s) 11 Practice to connect derivatives and limits 🔒 Pro 1 video(s) 12 The product rule 🔒 Pro 4 video(s) 13 The quotient rule 🔒 Pro 3 video(s) 14 Find the derivatives of tangent, cotangent, secant, and/or cosecant functions 🔒 Pro 2 video(s) 16 Optional videos 🔒 Pro 7 video(s) 17 Free response questions: differentiation definition and basic derivative rules 🔒 Pro 8 video(s)

1 The chain rule: introduction 🔒 Pro 6 video(s) 2 The chain rule: further practice 🔒 Pro 7 video(s) 4 Implicit differentiation 🔒 Pro 4 video(s) 5 Differentiate inverse functions 🔒 Pro 3 video(s) 6 Differentiate inverse trigonometric functions 🔒 Pro 3 video(s) 7 Select procedures to calculate derivatives: strategy 🔒 Pro 3 video(s) 8 Select procedures to calculate derivatives: multiple rules 🔒 Pro 5 video(s) 10 Calculate higher-order derivatives 🔒 Pro 3 video(s) 12 Optional videos 🔒 Pro 3 video(s) 13 Free response questions: differentiation of composite, implicit, and inverse functions 🔒 Pro 3 video(s)

1 Interpret the meaning of the derivative in context 🔒 Pro 1 video(s) 2 Straight-line motion: connect position, velocity, and acceleration 🔒 Pro 5 video(s) 3 Rates of change in other applied contexts (non-motion problems) 🔒 Pro 2 video(s) 5 Introduction to related rates 🔒 Pro 6 video(s) 6 Solve related rates problems 🔒 Pro 5 video(s) 8 Approximate values of a function using local linearity and linearization 🔒 Pro 4 video(s) 9 Use L’Hôpital’s rule to find limits of indeterminate forms 🔒 Pro 3 video(s) 11 Optional videos 🔒 Pro 1 video(s) 12 Free response questions: contextual applications of differentiation 🔒 Pro 6 video(s)

1 Use the mean value theorem 🔒 Pro 6 video(s) 3 Extreme value theorem, global versus local extrema, and critical points 🔒 Pro 3 video(s) 4 Determine intervals on which a function increases or decreases 🔒 Pro 2 video(s) 5 Use the first derivative test to find relative (local) extrema 🔒 Pro 4 video(s) 6 Use the candidates test to find absolute (global) extrema 🔒 Pro 2 video(s) 8 Determine concavity of intervals and find points of inflection: graphical 🔒 Pro 4 video(s) 9 Determine concavity of intervals and find points of inflection: algebraic 🔒 Pro 4 video(s) 10 Use the second derivative test to find extrema 🔒 Pro 1 video(s) 11 Sketch curves of functions and their derivatives 🔒 Pro 3 video(s) 13 Connect a function, its first derivative, and its second derivative 🔒 Pro 7 video(s) 15 Solve optimization problems 🔒 Pro 8 video(s) 16 Explore behaviors of implicit relations 🔒 Pro 2 video(s) 17 Calculator-active practice 🔒 Pro 19 Free response questions: analytical applications of differentiation 🔒 Pro 6 video(s)

1 Explore accumulations of change 🔒 Pro 3 video(s) 2 Approximate areas with Riemann sums 🔒 Pro 6 video(s) 3 Riemann sums, summation notation, and definite integral notation 🔒 Pro 7 video(s) 5 The fundamental theorem of calculus and accumulation functions 🔒 Pro 4 video(s) 6 Interpret the behavior of accumulation functions that involve area 🔒 Pro 1 video(s) 7 Apply properties of definite integrals 🔒 Pro 14 video(s) 9 The fundamental theorem of calculus and definite integrals 🔒 Pro 2 video(s) 11 Find antiderivatives and integrals: basic rules and notation: reverse power rule 🔒 Pro 3 video(s) 12 Find antiderivatives and integrals: basic rules and notation: common indefinite integrals 🔒 Pro 2 video(s) 13 Find antiderivatives and integrals: basic rules and notation: definite integrals 🔒 Pro 8 video(s) 15 Integrate using substitution 🔒 Pro 8 video(s) 16 Complete the square or use long division to integrate functions 🔒 Pro 2 video(s) 18 Optional videos 🔒 Pro 2 video(s) 19 Free response questions: integration and accumulation of change 🔒 Pro 1 video(s)

1 Model situations with differential equations 🔒 Pro 2 Verify solutions for differential equations 🔒 Pro 1 video(s) 3 Sketch slope fields 🔒 Pro 4 Draw conclusion from slope fields 🔒 Pro 6 Use separation of variables to find general solutions 🔒 Pro 1 video(s) 7 Use initial conditions and separation of variables to find particular solutions 🔒 Pro 3 video(s) 8 Exponential models with differential equations 🔒 Pro 3 video(s) 10 Free response questions: differential equations 🔒 Pro 3 video(s)

1 Find the average value of a function on an interval 🔒 Pro 3 video(s) 2 Connect position, velocity, and acceleration functions using integrals 🔒 Pro 5 video(s) 3 Use accumulation functions and definite integrals in applied contexts 🔒 Pro 5 video(s) 5 Find the area between curves expressed as functions of x 🔒 Pro 5 video(s) 6 Find the area between curves expressed as functions of y 🔒 Pro 2 video(s) 7 Find the area between curves that intersect at more than two points 🔒 Pro 1 video(s) 9 Volumes with cross sections: squares and rectangles 🔒 Pro 4 video(s) 10 Volumes with cross sections: triangles and semicircles 🔒 Pro 2 video(s) 11 Volume with disc method: revolve around x- or y-axis 🔒 Pro 3 video(s) 12 Volume with disc method: revolve around other axes 🔒 Pro 3 video(s) 13 Volume with washer method: revolve around x- or y-axis 🔒 Pro 2 video(s) 14 Volume with washer method: revolve around other axes 🔒 Pro 4 video(s) 15 Calculator-active practice 🔒 Pro 17 Free response questions: applications of integration 🔒 Pro 11 video(s)

1 Free response questions that involve concepts from multiple units 🔒 Pro 2 video(s)

1 See how our content aligns with AP®︎ Calculus AB standards 🔒 Pro