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AB Calculus Formulas & Justifications - 1 - AP Calculus AB Formulas & Justifications 1 Limits at Infinity: To find lim ( ) x f x →±∞ think Top Heavy ⇒limit is ±∞ Bottom Heavy ⇒limit is 0 Equal ⇒limit is ratio of coefficients 2 Limits with Infinity (at vertical asymptotes): When finding a one-sided limit at a vertical asymptote, FUNDAMENTAL THEOREM OF CALCULUS Part 1 1 If ( T) is continuous on [a, b] and ( T) is the anti-derivative of ( T), then ... * If x-values are NOT evenly divided the formulas for Riemann Sums and Trapezoidal Rule do NOT apply! Access the shop link here! AP Formula Sheet = + 1 = + + 2 = + 2( − ) ∑ ⃗ ⃗ ⃗ = = ⃗ ≤ ⃗ = ⃗ = 7. −sin Bcos. After exploring relationships among the graphs of a function and its derivatives, you'll learn to apply calculus to solve optimization problems. AP Calculus students need to understand this theorem using a variety of approaches and problem-solving techniques. For each of these values determine if the derivative does not exist due to a discontinuity a corner point a cusp or a vertical tangent line.
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