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AP Calculus AB Bowman
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Can you name the AP Calculus AB Bowman ?
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How to Play
Click the green button to start and enter the correct answers below
Derivative of sinx
Derivative of cosx
Derivative of tanx (you have to put parenthesis around the answer and then square it)
Derivative of cotx f (if there is a negative you have to put it in front of the parenthesis)
Derivative of secx (use * for multiplication)
Derivative of cscx
Derivative of e^x
The __________________ represents the average rate of change
The __________________ represents the instantaneous rate of change
What rule do use to find the derivative of h(x) = f(x)*g(x)?
What rule do use to find the derivative of h(x) = f(x)/g(x)?
____________________ is the curving upward or downward
____________________ is where the concavity changes from negative to positive or positive to negative
If a < b and f(a) < f(b) then the function is __________
If a < b and f(a) > f(b) then the function is _____________
if a < b and f(a) = f(b) then the function is ____________
the _________________ states that if x is continuous on [a,b] and differentiable on (a,b) then there exists a c on the interval (a,b) such that f '(c) = (f(b)-f(a)/(b-a)
the __________________ states that if f is continuous on [a,b] and differentiable on (a,b) and f(a) = f(b), then there exists a c on the interval (a,b) such that f '(c)=0.
If f ''(x) > 0 then f is _________.
If f ''(x) < 0 then f is __________.
Find the limit as x approaches 1 of ((2 - (5/(x-1)^2))
Use differentials to approximate (4.9)^(1/2) or the square root of 4.9 (to the third decimal)
To find the maximum and minimum values of a function y=f(x), locate the points where f'(x) changes sign and the ___________.
Find the absolute maximum and minimum values (with both the x and y coordinates) of f(x)=3x^2 -24x-1 on the interval [-1,5]
Find the point(s) of inflection of f(x)=x^3-3x^2 (only the x-coordinate)
Find the limit as x approaches -1 of (x^2+6x+5)/(x^2-3x-4)
Find the limit as x approaches 0 of ((x+4)^1/2 - 2)/x
Find the limit as x approaches 0 of sin5x/x
A function is not differentiable if it is not continuous or has a ______________.
x-values at which f'(x)=0 or f'(x) is undefined are __________.
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