Trivia
Solve Derivative
Solve the Integral
Graphs
Free Response Questions
100
This is the outcome of deriving a constant.
What is 0?
100
This is the derivative of 4x.
What is 4?
100
This is the integral of 2x dx.
What is 2?
100
As f(x) is concave up between the intervals [1,1], f'(x) is.
What is increasing?
100
Given y = x^3+4x^2+6, find the second derivative of the equation.
What is 6x+8?
200
This is the derived function of a position function.
What is velocity?
200
This is the derivative of x^3.
What is 3x^2?
200
This is the integral of x^2 dx.
What is (x^3)/3 + C?
200
The concavity of a f'(x) when f(x) is from positive to negative.
What is concave down?
200
A particle moves along the x-axis so that its velocity at time t is given by v(t) = (10t^3-15t^2+6)/(2t^2+4). Find the acceleration equation.
What is (x(5t^3+30x-36))/(x^2+2)^2?
300
You must always include this when integrating a function or expression.
What is C?
300
This is the derivative of tan(x).
What is sec^2(x)?
300
This is the integral of e^x dx.
What is e^x + C?
300
This function contains the Point of Inflection values.
What is f''?
300
The expression for function P is x^3+6 containing the point (2,0). Find the tangent equation of the curve.
What is y=12(x-2)?
400
This method of solving integrals can be utilized to solve the given equation:
sin^2(x)cosx dx
What is U-Substitution?
400
This is the derivative of lnx+ x^3 + e^x.
What is 1/x + 3x^2 + e^x?
400
This is the integral of 3x^2+4/x^3+4x dx.
What is ln(x^3+4x)?
400
Find the area of the graph using integration between the interval 0 and 4.
What is 3?
400
Given the equation of 3y^3+4x^2=17y^2, find dy/dx.
What is -8x/(9y^2-34y)?
500
This formula can be used to derive a function and determine the limit of the given function.
What is L' Hopital's Rule?
500
This is the derivative of tan^-1(5x^4).
What is 20x^3/1+25x^8?
500
This is the integral of 1/x^1/2(x+1) dx.
What is 2tan^-1(x^1/2)+C?
500
Using the graph of f(x) above, find the area for the graph of F(x).
What is 6?
500
If (x+2y)dy/dx=2x-y, the value of d^2y/dx^2 at the point (3,0) is.
What is -10/3?