AP Calculus AB Crossword

A line that touches a curve at one point
if f(x) is continuous, then every value between f(a) and f(b) must exist
Perpendicular to a tangent line
Where a derivative does not exist
The absolute value of velocity
f’(x) is negative
Rate at which the slope is changing
F(x)=f(a)+f’(a)(x-a)
Only occur at critical points or end points of a continuous function
If velocity and acceleration have the same sign, then the speed is ______.
If velocity and acceleration have different signs, then the speed is _____.
x^3
(πr^2)h
1/3(πr^2)h
4/3(πr^3)
The value that a function or sequence "approaches" as the input or index approaches some value.
x^2 -> 2x^2-1 -> 2x
(F*G)'(x)=f'(g(x))*g'(x)
What does f^-1represent?
lim x->0 (sinx/x)
lim x->0 (cosx-1)
The instantaneous rate of change of a function
Using "u" finding "du", spotting it in the integral, replacing it and solving. After taking the integral, re-substitute "u”.
f(x) is continuous in the interval [a, b] and differentiable in the interval (a, b)
(vu'-uv')/v^2
Finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known
x = a if the value of f(a) matches the predicted value coming from the limit as x → a
The derivative of velocity
Derivative of the position function
f’(x) is positive