Ap Calculus Bc Examprep Solved Questions With Detailed Answers Full Solution View

AP CALCULUS BC EXAMPREP SOLVED
QUESTIONS WITH DETAILED ANSWERS
FULL SOLUTION VIEW

●● 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


●● 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


●● absolute value of velocity
Answer: speed


●● To find absolute maximum on closed interval [a, b], you must
consider...
Answer: critical points and endpoints


●● If f '(x) = 0 and f"(x) > 0,
Answer: f(x) has a relative minimum


●● If f '(x) = 0 and f"(x) < 0,
Answer: f(x) has a relative maximum