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- The highest point on a graph, especially over a specified domain
- Absolute Maximum
- The lowest point on a graph, especially over a specified domain
- Absolute Minimum
- Given a function with a derivative, the antiderivative of that derivative function returns the original function.
- Antiderivative
- a basic rule in calculus to find the derivative of a composite function
- Chain Rule
- When approximating an integral in calculus we may treat each partition as a Trapezoid to determine the area under the curve.
- Trapezoidal Rule
- A Derivative taken of a first Derivative
- Second Derivative
- A simple device in calculus to determine the derivative of a monomial.
- Power Rule
- An algorithm within the calculus to find the derivative of the Product of two functions.
- Product Rule
- adheres to this property: f(-x) = -f(x).
- Odd Function
- derivative of a constant
- Zero
- If f is continuous on [a,b] then f has an absolute maximum and an absolute minimum on [a,b]. The global extrema occur at critical points in the interval or at endpoints of the interval.
- Extreme Value Theorem
- If f'(c)=0 or does not exist, and c is in the domain of f, then c is a critical number. (Derivative is 0 or undefined)
- Critical Number
- Let f be continuous on [a,b] and differentiable on (a,b) and if f(a)=f(b) then there is at least one number c on (a,b) such that f'(c)=0 (If the slope of the secant is 0, the derivative must = 0 some
- Rolle's Theorem
- The instantaneous rate of change will equal the mean rate of change somewhere in the interval. Or, the tangent line will be parallel to the secant line.
- Mean Value Theorem
- [(f'(x) g(x)) - ((f(x) g'(x))] / (g(x))^2
- Quotient Rule
- A change in concavity
- Inflection Point
- derivative of sin(x).
- cos(x)
- derivative of cos(x).
- -sin(x)
- derivative of ln(x)
- 1/x
- derivative of csc(x).
- -csc(x)cot(x)
- derivative of sec(x).
- sec(x)tan(x)
- (y₂-y₁)/(x₂-x₁)
- Slope
- switch x and y
- inverse function