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Formulas, Variables, and Equations
Derivative
Optimization & Random
100
A=1/2(h)(base1+base2)
What is the area of the trapezoid?
100
the slope of the line tangent to the graph
What is the definition of the derivative?
100
a point on the graph at which the function is continuous but the derivative is discontinuous
What is cusp?
200
4cosθ
What is solving for height?
200
'
What is the symbol for a derived equation (prime)?
200
A point where a graph changes from concave up to concave down, or vice versa.
What is point of inflection?
300
8sinθ
What is the value of 2l?
300
''
What is the symbol for second derivative?
300
A point where the derivative is zero or undefined.
What is critical point?
400
32cosθ+16cosθsinθ
What is the area of Perry's trapezoidal escape route?
400
AKA indefinite integral
What is the definition of antiderivative?
400
the character with the triangle face/head.
Who is Phineas?
500
y=uv y'=u'v+v'u
What is the product rule?
500
setting derivative equation to 0, in order to get θ=21.47
How to solve for Perry's maximized angle in his escape route (θ)?
500
AKA Agent P
Who is Perry the Platypus?