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Derivatives
Area/Volume
Misc.
100
A function that models the slope of the curve for all x-values for which it exists. This is the definition of what?
What is the definition of a derivative?
100
This curve is closest to the x-axis when finding areas with more than one curve.
What is a minor curve?
100
State the formula of the Power Rule for Derivatives
What is A'b + B'a
200
A line that passes through the curve at x=a and has a slope m=-1/F '(a). Name this type of line.
What is a Normal Line?
200
A known __________ of A(x) can be used to find a volume of a solid. Fill in the blank..
What is a cross section?
200
Find any points where the graph fails to be differentiable and explain why 3√(5x+7)
What is y is not differentiable at x=-7/5 due to a vertical tangent
300
Find this equation's derivative: 4x^3 + 7x^2 + 2x + 3
What is the derivative of 12x^2 + 14x + x
300
This formula is used to find areas with more than one curve.
What is ∫_a^b(f(x)-g(x) )dx?
300
A function fails to be differentiable if it has a....
What is a discontinuity, corner, cusp or a vertical tangent
400
What is the formula for Left and Right Hand Derivatives?
Lim f(a+h)-f(a)/h h->0+ and h->0-
400
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. Name this method..
What is the Disk Method?
400
Integrate the following equation ∫√(7x+9)dx
(2/21)(7x+9)^(3/2)+C
500
Name 8 of the 17 Derivative rules
Answer will vary...
500
Find the area enclosed by y=x^2 and the y-axis between [0,3] is revolved around the y-axis.
What is 9/2 pi
500
Find dy/dx and d^2y/dx^2 of the following equation y=3x^4-4x^(3/2)
What is 12x^3-6x^(1/2) and 48x^2-3x^(-1/2)