AP CALCULUS BC EXAM 2026 UPDATE QUESTIONS
AND CORRECT VERIFIED ANSWERS ALREADY
GRADED A+ (BRAND NEW VISION)
Intermediate Value Theorem - ANS-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 - ANS-Slope of secant line between two points, use to estimate
instantanous rate of change at a point.
Instantenous Rate of Change - ANS-Slope of tangent line at a point, value of derivative at a
point
Alternate definition of derivative - ANS-limit as x approaches a of [f(x)-f(a)]/(x-a)
When f '(x) is positive, f(x) is - ANS-increasing
When f '(x) is negative, f(x) is - ANS-decreasing
When f '(x) changes from negative to positive, f(x) has a - ANS-relative minimum
When f '(x) changes from positive to negative, f(x) has a - ANS-relative maximum
When f '(x) is increasing, f(x) is - ANS-concave up
When f '(x) is decreasing, f(x) is - ANS-concave down
, When f '(x) changes from increasing to decreasing or decreasing to increasing, f(x) has a - ANS-
point of inflection
When is a function not differentiable - ANS-corner, cusp, vertical tangent, discontinuity
Product Rule - ANS-uv' + vu'
Quotient Rule - ANS-(uv'-vu')/v²
Chain Rule - ANS-f '(g(x)) g'(x)
y = x cos(x), state rule used to find derivative - ANS-product rule
y = ln(x)/x², state rule used to find derivative - ANS-quotient rule
y = cos²(3x) - ANS-chain rule
Particle is moving to the right/up - ANS-velocity is positive
Particle is moving to the left/down - ANS-velocity is negative
absolute value of velocity - ANS-speed
y = sin(x), y' = - ANS-y' = cos(x)
y = cos(x), y' = - ANS-y' = -sin(x)
AND CORRECT VERIFIED ANSWERS ALREADY
GRADED A+ (BRAND NEW VISION)
Intermediate Value Theorem - ANS-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 - ANS-Slope of secant line between two points, use to estimate
instantanous rate of change at a point.
Instantenous Rate of Change - ANS-Slope of tangent line at a point, value of derivative at a
point
Alternate definition of derivative - ANS-limit as x approaches a of [f(x)-f(a)]/(x-a)
When f '(x) is positive, f(x) is - ANS-increasing
When f '(x) is negative, f(x) is - ANS-decreasing
When f '(x) changes from negative to positive, f(x) has a - ANS-relative minimum
When f '(x) changes from positive to negative, f(x) has a - ANS-relative maximum
When f '(x) is increasing, f(x) is - ANS-concave up
When f '(x) is decreasing, f(x) is - ANS-concave down
, When f '(x) changes from increasing to decreasing or decreasing to increasing, f(x) has a - ANS-
point of inflection
When is a function not differentiable - ANS-corner, cusp, vertical tangent, discontinuity
Product Rule - ANS-uv' + vu'
Quotient Rule - ANS-(uv'-vu')/v²
Chain Rule - ANS-f '(g(x)) g'(x)
y = x cos(x), state rule used to find derivative - ANS-product rule
y = ln(x)/x², state rule used to find derivative - ANS-quotient rule
y = cos²(3x) - ANS-chain rule
Particle is moving to the right/up - ANS-velocity is positive
Particle is moving to the left/down - ANS-velocity is negative
absolute value of velocity - ANS-speed
y = sin(x), y' = - ANS-y' = cos(x)
y = cos(x), y' = - ANS-y' = -sin(x)
