Limits
Derivative of: 7
What is: 0
Where is the function f(x)=(x^2-4)/(x-2) discontinuous?
What is x=2?
Integrate: ∫ 1000 dx
What is 1000x + C
lim (2+h)^2 - 4/ h h->0
What is 4
Derivative of: x^3 + 5x^2 + x + 1
What is: 3x^2 + 10x + 1
What are the vertical and horizontal asymptotes (if any) of f(x) = (4)/((x^2)-1)?
The x axis acts as a horizontal asymptote and x=±1 are the vertical asymptotes.
∫ 6x dx
What is (3x^2) +C
What is the limit of x/(x^2+3x) as x approaches 0?
1/3. Begin by pulling out an x from the bottom half of the equation.
Simplify the following: lim [f(x) + g(x)]
lim f(x) + lim g(x)
∫(x)dx
What is: 1/2x^2 + C
Describe the limits as x approaches -∞. f(x)= x^3-3x²+7x+2.
Limit as x approaches -∞ is -∞.
Derivative of: 5x^2 - sin(x)
What is: 10x - cos(x)
What vertical and horizontal asymptotes (if any) does the graph of y=(x^2-9)/(3x-9) have?
There are no horizontal or vertical asymptotes, but the function is has a removable discontinuity at x=3.
Integrate: ∫[3 + 6x] dx
What is 3x + 3x^2 +C
What is the limit of x/x as x approaches 0?
What is 1
The process of finding the derivative of a function is called this.
What is differentiation.
The process of finding an equation of the tangent line for some value.
What is take the derivative, plug in the value into the derivative to get mtan. Use point slope form (equation of the line( together with a point and mtan.
∫sin(x)dx
What is: -cos(x) + C