Know Your Limits
This term is used to when a continuous line approaches a number.
What are limits?
Limh->0[(f(x+h)-f(x))/h]
Definition of the derivative?
What is an Integral?
This term is used to define the change in place from where a particle started.
What is Displacement?
This is an approach to finding a limit by "trapping" it in between 2 simpler functions.
A limit can approach but still be ___ at that point.
What is undefined?
Chain Rule
What is [f'(x)g(x)][g'(x)f(x)]?
What is +C?
What does the integral from a to b|v(t)|dt represent?
What is Total Distance?
This is used to find the average slope between two endpoints.
What is MVT?
Indicates infinity and requires you to test left and right to determine positive or negative.
What is a Vertical Asymptote?
What is 15x4+6x2-12?
A Left Reimann sum is an ____ of the Integral of a function who is increasing an concave down.
When v(t)>0, the particle is moving___?
What is Right?
What value of f'(x) is guaranteed on a continuous function and differentiable function, f, where f(3)=12, f(6)=3, and f(14)=12? Give the theorem you used.
What is f'(x)=0 using Rolle's Theorem?
Limx->∞[(1-5x3+x6)/(5x4-4x6-3x2)]
What is 1/4?
A term used in implicit differentiation, usually when a function cannot easily be solved for y.
What is dy/dx?
Integral(3x2 + 2x)dx
What is x3 + x2 + C?
A particle's position is defined by s(t)= 1.2t3 - 3.7t2 + 8t for t>0. Find the value(s), t, for when the particle is at rest.
t= 3.333, 1.60
This is used to justify an absolute minimum and maximum in a continuous function.
What is EVT?
A rule to find a limit when a previous answer directly solved computed for 0/0
What is L'Hôpital's Rule?
What is y-y1=m(x-x1)?
What is the formula for the volume of a solid with cross-sections perpendicular to the x-axis are squares?
What is the Integral from a to b[(f(x)-g(x)]^2 dx?
What is the Chain of Motion?
What is Position -> Velocity -> Acceleration?
If f is continuous on a closed interval (a,b), then it must intercept with every interval between those points.
What is IVT?