Calculus Crossword

These conditions must be met:
Notations include:
Points where f(x) changes concavity
Points where f’(x) = 0 or f’(x) = undefined
If _______ ____ are different, the 2-sided limit does not exist.
Usually occurs in a piecewise function
Used to prove that f(x) = 3x2- 3x + 1= 0 has at least 1 solution on the interval [0,1]
Used after a limit is evaluated and results in an indeterminate form (00, ±± )
_____ implies continuity BUT continuity DOES NOT imply _____
Particle moves ___ when
_______ Rate of Change
Change in position of a particle over [t1, t2]
Area under the curve from t=a to t=b
Helpful for integrands involving products of algebraic and transcendental functions
Used when the limit equals a number0 and therefore does not exist
A rational functions end behavior is determined by its _______ asymptote
This type of discontinuity includes vertical asymptotes and jump discontinuities
Represents population growth that starts off exponentially but eventually levels off at its carrying capacity
Represented by the “L” in this equation: dPdt=kP (1-PL)
Could be approximated using the distance formula