Derivatives
Even More Derivatives
Integrals
Random Calculations
Other (Definitions, theorems, etc)
100
Find the derivative of f(x)=3/2x2
What is 3x?
100
Find dy/dx. xy2+y3+x2=10
What is (-2x-y2)/(2xy+3y2)?
100
Integrate F'(x)=3x2+6x.
What is x3+3x2+C?
100
Find the slope of f(x)=5/3x3-3x2-1/x2 at x=-1
What is 9?
100
DAILY DOUBLE!!!!! Name the technique where the shape of a circle is used to find the volume of a shape made by rotating two functions around an axis.
What is the washer method
200
Find the derivative of 10x3+2x2+5x
What is 30x2+4x+5?
200
Find the derivative of f(x)=ln(x3+3x2+7).
What is (3x2+6x)/(x3+3x2+7)?
200
Integrate F'(x) = x2
What is (x3/3 +C
200
The rate of change of radius r of a circle is 4 cm/s. Find the rate of change of Area A when r=2cm.
What is 16π?
200
This is the definition: any real-valued differentiable function that attains equal values at two distinct points must have a stationary point somewhere between them—that is, a point where the first derivative (the slope of the tangent line to the graph of the function) is zero.
What is Rolle's Theorem
300
Find the slope of f(x)=5/3x3-3x2-1/x2 at x=-1
What is 9?
300
Find dy/dx for the following function: x2y3+y2+3x=y.
What is (-3-2xy3)/(3x2y2+2y-1)?
300
Find the equation of F given F'(x)=x3-3x2+7x+8 and F(0)=5
What is F(x)=(x4/4)-x3+3.5x2+8x+5
300
DAILY DOUBLE!!!!! Find a value c such that the mean value theorem is satisfied for f(x)=2x,3+6x-2 on the interval [-2,2].
What is &plusmn 2/(3).5?
300
Complete the Fundamental Theorem of Calculus. ∫abF(x)dx=?
What is F(b)-F(a)?
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