Inverse operation of differentiation/related to definite integrals through the first fundamental theorem of calculus.
What is Antiderivative/integrand?
200
Point slope form: y=mx+b... General form: Ax+By+C=0... Standard form: Ax+By=C
What is Linear Models/Rate of Charge
200
A function that models the slope of the curve for all x-values for which it exists.
What is the definition of a derivative
200
Using the disc method: What is the volume of y=-x+1
pi/3
200
x^-3
What is -1/2x^2 + C
200
Formula or computing the derivative of the composition of two or more functions.
What is the chain rule?
300
The graph is broken at C and there are no gaps, or holes. So in any interval (a,b), the graph f is uninterrupted.
What is a continuous graph?
300
Find this equations derivative: 4x^3+7x^2+2x+3
What is the derivative of 12x^2+14x+2
300
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 or when the graph is on the axis of revolution
What is the disk method
300
tanx+c
What is sec^2xdx
300
d/dx[sinx]
What is cosx
400
If f(x) approaches infinity (or negative infinity) as x approaches C from the right or the left then the line x -> C
What is vertical asymptotes?
400
Find the derivative of f(x)=3x^2/2
What is 3x
400
Using the shell method: Find y=x^2+2, y=2, x=1 AXIS: x=4
What is 13/6 pi
400
e^0
What is 1
400
Find the inverse of this function: f(x)=2/x-3+2
What is 2/x-2+3
500
d/dx [cf(x)]=cf'(x)
What is the constant multiple rule?
500
Find the derivative of f(x)= 5^x + 3x^7
What is 5^xln5+21x^6
500
Find the area of the region enclosed by the curves: y=-x^3-x^2+5x, y=-x