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AP CALCULUS AB
The College Board is exceptionally definite in what they require your AP educator to cover in their AP Calculus AB course. The College Board says Calculus AB is what could be compared to a semester of school math and BC is what could be compared to an extended period of college analytics. In truth, AB analytics covers more like 3/4 of an extended time of college math.
The various decision inquiries on the AP Calculus AB test cover an assortment of math subjects and are discrete, instead of showing up being referred to sets, and will have a comparable configuration that is trailed by five answer decisions. On occasion, it might appear to be that there could be more than one potential right answer. Answers coming about because of normal slip-ups are regularly remembered for the five answer decisions to trap you.
The FRQ segment of the AP Calculus AB test comprises six inquiries that expect you to work out the arrangements and steps by which you addressed it. Incomplete credit is given for different strides in the arrangement of every issue. You’ll as a rule be needed to outline a chart in one of the inquiries.
Here is a layout of what is covered on the AP Calculus AB test:-
  • Graphing and interpreting graphs (pre-calculus).
  • Limits and continuity. Finding limits algebraically or estimating them from numerical or graphical data. Continuity in terms of limits.
  • Intermediate Value Theorem and Extreme Value Theorem.
  • Vertical, horizontal, and oblique asymptotes. Limits involving infinity.
  • Limit definition of the derivative and its relationship to continuity.
  • Derivative rules including the Power Rule, Product Rule, Quotient Rule, and Chain Rule.
  • Slope and tangent lines.
  • Linear approximation and differentials.
  • Instantaneous and average rates of change. Relationship among position, velocity, and acceleration functions.
  • Higher order derivatives.
  • Implicit Differentiation.
  • Analysis of Graphs based on both pre-calculus methods and derivative information. This includes finding intervals of increase/decrease, relative minima/maxima, intervals of concavity, and inflection points.
  • Mean value theorem and Rolle’s Theorem.
  • Applications of derivatives, including optimization and related rates.
  • Elementary differential equations and slope fields.
  • Anti-differentiation and indefinite integrals.
  • Techniques of anti-differentiation, including power rule, algebraic manipulation, and substitution.
  • Finite Riemann sums and their limits. Relationship to definite integrals.
  • The Fundamental Theorem of Calculus and definite integrals.
  • Trapezoid Rule and other methods for estimating area.
  • Exact area below a curve or between two curves, using definite integrals.
  • Volumes of solids of revolution, by washer method and shell method.
  • Accumulation functions.
  • Relationships between position, velocity, and acceleration using integrals.
  • Average value of a function over an interval.
  • Models for exponential growth and decay.
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