Limits
If Lim x->0 = 0/0, what rule would you use?
What is L'Hopital's Rule?
A function that models the slope of the curve for all x-values for which it exists. This is the definition of what?
What is a Derivative?
What is the definition of an integral?
What is the limit and summation of a function?
This curve is closest to the x-axis when finding areas with more than one curve.
What is a minor curve?
State the formula of the Power Rule for Derivatives
What is A'b+B'a?
State the definition of a global limit.
What is limits involving infinity?
A line that passes through the curve at x=a and has a slope m=-1/F '(a). Name this type of line.
What is a normal line?
State the integral notation?
What is ∫_a^b f(x)dx?
A known __________ of A(x) can be used to find a volume of a solid. Fill in the blank.
What is a Cross Section?
The second derivative of a function tells you what about the original function
What is concavity?
What is the limit of (3x-10)/(x^2-25 x->2)?
What is 1/7?
Find this equation's derivative: 4x^3 + 7x^2 + 2x + 3
What is the derivative of 12x^2 + 14x + 2?
Solve ∫sec(x)^2dx
What is tan(x) +C?
This formula is used to find areas with more than one curve.
What is ∫_a^b(f(x)-g(x) )dx?
A function fails to be differentiable if it has a....
What is a discontinuity, corner, cusp or a vertical tangent?
What is the global limit of (x^2-4)/(2+x-4x^2)
What is -1/4?
What is the formula for Left and Right Hand Derivatives?
Lim f(a+h)-f(a)/h h->0+ and h->0-?
Solve ∫(5/x)dx
What is 5ln(x)?
All cross sections to find a volume will be in circle form, the formula for the cross section is A(x)= A= pi r^2. Name this method.
What is the Disk Method?
What is the definition of the Intermediate Value Theorem?
What is if there is a continuous function, there is a point C such that f(a) < f(c) < f(b)?
Name the 4 types of Discontinuities
What is Hole, Jump, Infinity, Oscillating?
Is the equation 2x +2yy' =0 separable or non-separable?
What is separable?
What is the equation for integration by parts?
What is uv - ∫udv?
Find the area enclosed by y=x^2 and the y-axis between [0,3] is revolved around the y-axis.
What is 9/2 pi?
How do you find the local minimum and maximum of a function?
What is finding the first derivative, locating the critical points, then finding the second derivative and seeing if the points are greater or less than zero?