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AP CALCULUS AB and BC . Final Notes . ... Differentiation Formulas . 1. (x)= nx n −1 dx d 2. ... Note: These are the only candidates for the value of . x. where . f (x) may have a maximum or a minimum. 14. Increasing and Decreasing: Let f be differentiable for a x < b and continuous for a a
The rate of snow fall, in cubic feet per hour, recorded over a 48 hour period is given by a twice differentiable function S of time t. The table of selected values of S(t) for the time interval 0 ≤ t ≤ 48 hours, are shown above. Use data from the table to find an approximation for S ′ (21).
Page 1 of 2. Mathematics document from Northern Virginia Community College, 2 pages, AP ® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this website. AP® Calculus BC - Formula Sheet Identities to Recall sin (−θ) = − sin (θ) cos (−θ) = cos (θ) tan (−θ) = − tan (θ ...
Let f be defined at c. If f c 0 or if f is undefined at c, then c is a critical number of f. _______________________________________________________________________ First Derivative Test: Let c be a critical number of a function f that is continuous on an open interval I containing c.
* If x-values are NOT evenly divided the formulas for Riemann Sums and Trapezoidal Rule do NOT apply! Use the intervals given on the table provided for ∆𝒙.
Mean Value & Rolle’s Theorem. If the function f(x) is continuous on [a, b] and the first derivative exists on the interval (a, b), then there exists a number x = c on (a, b) such. ) − f ( a )that f '( c ) =b . if f(a) = f(b), then f ’(c) = 0.
23 Σεπ 2024 · This AP Calculus BC cheat sheet provides a quick reference for key concepts like limits, derivatives, integrals, sequences, series, and parametric equations, helping students prepare efficiently for the AP exam.
