Limits
What is a limit?
The value that a function approaches
Find the derivative of 3x2-4x
6x-4
Complete the Fundamental Theorem of Calculus. ∫abF(x)dx=?
What is F(b)-F(a)?
Integral of (x-5)^-4dx
What is (-1/3)(x-5)^-3 + c
The limit as x approaches infinity is also known as what?
Horizontal Asymptote
What is the quotient rule?
Low(d high)-high(d low)/ low low
What does MVT state?
What is there exists a point c in the interval (a,b) such that f'(c)=f(b)-f(a)/b-a, if a function is continuous on the closed interval [a,b] and differentiable on the open interval (a,b)?
Integral of e^(3x-2)dx
What is (1/3)e^(3x-2) + c
Can a limit exist when there is a removable hole in the graph?
Yes , the value does not matter
d/dx (sin^-1x) =
What is dx/(1-x^2)^(1/2)
What is IVT
If f is continuous on the closed interval [a,b] and k is any number between f(a) and f(b) then there is at least one number c in [a, b] such that f(c) = k
Integral of x*(2x^2+5)^4dx
What is 1/20*(2x^2+5)^5+C
Limit as x goes to 1- of (x^2+2x-3)/(|x-1|)=
What is -4
Find dy/dx for y^3 + xy - 2y - x^2 = -2
What is (2x-y)/(3y^2+x-2)
Find a value c such that the conclusion of the mean value theorem is satisfied for f(x)=2x,3+6x-2 on the interval [-2,2].
What is ± 2/(3).5?
Integral of (1-2x)/(x^2+2x+1) *hint use partial fraction
What is -2ln|x+1| + (-3/x-5)^-3+C
The limit as x goes to infinity of lnx/x=
What is 0
Find dy/dx for y= [(x^2+1)/(x^2-1)]^(1/3)
What is (1/3) [1/(x^2+1) - 1/(x^2-1)]
What is MVT
1/ (b-a) times the integral on (a, b) of f(x) dx
Integral of 1/(1+x^2)dx
What is arctan(x)+c