AP CALCULUS BC EXAMINATION TEST COMPLETE QUESTIONS AND ANSWERS GRADED A+

AP CALCULUS BC EXAMINATION TEST
COMPLETE QUESTIONS AND ANSWERS
GRADED A+



◍ Intermediate Value Theorem. Answer:


◍ Extreme Value Theorem. Answer: There must be a max and min if
the function is continuous on [a,b]


◍ Linear Approximation. Answer: F(x)~=~f(a) +f`(a)(x-a)


◍ Finding Average Velocity. Answer:


◍ Numerical Differentiation. Answer: Used to estimate the derivative


(F(x+h)-f(x))/h


◍ Inflection Points. Answer: To find inflection points
1. Find the second derivative
2. Set the second derivative equal to zero
3. Solve for x
Optional
4. Plug in and solve for f(x)

, ◍ Mean Value Theorem. Answer:


◍ F(x): Increasing or Decreasing. Answer: If f`is positive, then f(x) is
increasing
If f` is negative, then f(x) is decreasing


◍ F(x): Concavity. Answer: If f`` is positive, then f` is increasing, and
the concavity of f(x) is upwards
If f`` is negative, then f` is decreasing, and the concavity of f(x) is
downwards


◍ Absolute Max./Min.. Answer: Only occur at critical points or end
points of a continuous function (guaranteed by the EVT)


◍ Differentiation: Product Rule. Answer:


◍ Differentiation: Quotient Rule. Answer:


◍ Differentiation: Chain Rule. Answer:


◍ Differentiation: Inverse Functions. Answer:


◍ Differentiation: Implicit Functions. Answer: