AP Calculus AB Exam with all Correct & 100% Verified
Answers |Latest Update| Guaranteed to Pass
Intermediate Value Theorem ✔Correct Answer--If f(1)=-4 and f(6)=9, then there must be a x-value
between 1 and 6 where f crosses the x-axis.
Average Rate of Change ✔Correct Answer--Slope of secant line between two points, use to
estimate instantanous rate of change at a point.
Instantenous Rate of Change ✔Correct Answer--Slope of tangent line at a point, value of derivative
at a point
Formal definition of derivative ✔Correct Answer--limit as h approaches 0 of [f(a+h)-f(a)]/h
Alternate definition of derivative ✔Correct Answer--limit as x approaches a of [f(x)-f(a)]/(x-a)
When f '(x) is positive, f(x) is ✔Correct Answer--increasing
When f '(x) is negative, f(x) is ✔Correct Answer--decreasing
When f '(x) changes from negative to positive, f(x) has a ✔Correct Answer--relative minimum
When f '(x) changes fro positive to negative, f(x) has a ✔Correct Answer--relative maximum
When f '(x) is increasing, f(x) is ✔Correct Answer--concave up
When f '(x) is decreasing, f(x) is ✔Correct Answer--concave down
When f '(x) changes from increasing to decreasing or decreasing to increasing, f(x) has a ✔Correct
Answer--point of inflection
When is a function not differentiable ✔Correct Answer--corner, cusp, vertical tangent,
discontinuity
Product Rule ✔Correct Answer--uv' + vu'
Quotient Rule ✔Correct Answer--(uv'-vu')/v²
Chain Rule ✔Correct Answer--f '(g(x)) g'(x)
y = x cos(x), state rule used to find derivative ✔Correct Answer--product rule
y = ln(x)/x², state rule used to find derivative ✔Correct Answer--quotient rule
y = cos²(3x) ✔Correct Answer--chain rule
Particle is moving to the right/up ✔Correct Answer--velocity is positive
Particle is moving to the left/down ✔Correct Answer--velocity is negative
Answers |Latest Update| Guaranteed to Pass
Intermediate Value Theorem ✔Correct Answer--If f(1)=-4 and f(6)=9, then there must be a x-value
between 1 and 6 where f crosses the x-axis.
Average Rate of Change ✔Correct Answer--Slope of secant line between two points, use to
estimate instantanous rate of change at a point.
Instantenous Rate of Change ✔Correct Answer--Slope of tangent line at a point, value of derivative
at a point
Formal definition of derivative ✔Correct Answer--limit as h approaches 0 of [f(a+h)-f(a)]/h
Alternate definition of derivative ✔Correct Answer--limit as x approaches a of [f(x)-f(a)]/(x-a)
When f '(x) is positive, f(x) is ✔Correct Answer--increasing
When f '(x) is negative, f(x) is ✔Correct Answer--decreasing
When f '(x) changes from negative to positive, f(x) has a ✔Correct Answer--relative minimum
When f '(x) changes fro positive to negative, f(x) has a ✔Correct Answer--relative maximum
When f '(x) is increasing, f(x) is ✔Correct Answer--concave up
When f '(x) is decreasing, f(x) is ✔Correct Answer--concave down
When f '(x) changes from increasing to decreasing or decreasing to increasing, f(x) has a ✔Correct
Answer--point of inflection
When is a function not differentiable ✔Correct Answer--corner, cusp, vertical tangent,
discontinuity
Product Rule ✔Correct Answer--uv' + vu'
Quotient Rule ✔Correct Answer--(uv'-vu')/v²
Chain Rule ✔Correct Answer--f '(g(x)) g'(x)
y = x cos(x), state rule used to find derivative ✔Correct Answer--product rule
y = ln(x)/x², state rule used to find derivative ✔Correct Answer--quotient rule
y = cos²(3x) ✔Correct Answer--chain rule
Particle is moving to the right/up ✔Correct Answer--velocity is positive
Particle is moving to the left/down ✔Correct Answer--velocity is negative
