Ap Calculus Bc Updated Actual Questions And Correct Answers Complete Study Guide

AP CALCULUS BC UPDATED ACTUAL
QUESTIONS AND CORRECT ANSWERS
COMPLETE STUDY GUIDE

●● Average Rate of Change
Answer: Slope of secant line between two points, use to estimate
instantanous rate of change at a point.


●● Instantenous Rate of Change
Answer: Slope of tangent line at a point, value of derivative at a point


●● Formal definition of derivative
Answer:


●● Alternate definition of derivative
Answer: limit as x approaches a of [f(x)-f(a)]/(x-a)


●● When f '(x) is positive, f(x) is
Answer: increasing


●● When f '(x) is negative, f(x) is
Answer: decreasing

,●● When f '(x) changes from negative to positive, f(x) has a
Answer: relative minimum


●● When f '(x) changes from positive to negative, f(x) has a
Answer: relative maximum


●● When f '(x) is increasing, f(x) is
Answer: concave up


●● When f '(x) is decreasing, f(x) is
Answer: concave down


●● When f '(x) changes from increasing to decreasing or decreasing to
increasing, f(x) has a
Answer: point of inflection


●● When is a function not differentiable
Answer: corner, cusp, vertical tangent, discontinuity


●● Product Rule
Answer: uv' + vu'

, ●● Quotient Rule
Answer: (uv'-vu')/v²


●● Chain Rule
Answer: f '(g(x)) g'(x)


●● y = x cos(x), state rule used to find derivative
Answer: product rule


●● y = ln(x)/x², state rule used to find derivative
Answer: quotient rule


●● y = cos²(3x)
Answer: chain rule


●● Particle is moving to the right/up
Answer: velocity is positive


●● Particle is moving to the left/down
Answer: velocity is negative