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calculus
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APHS Calculus AB
Can you name the terms for ap calculus?
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Calc_APgirlsteam
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Vocab
Term
The process of finding the derivative of an explicit function
A point of discontinuity where the one-sided limits exist but have different values
A small piece of linearization at any point
If y=f(x) is continuous at every point on the closed interval and differentiable at every point of the open interval then f ' (c)=f(b)-f(a)/(b-a)
A function over an interval is the amount of change divided by the length of the interval
Takes on all the values in between two variables
The limit of the sum of two functions is the sum of their limits
A method for finding the derivative of a function defined implicitly
A point where the graph of a function has a tangent line where the concavity changes
The derivative of the position function s=f(t) with respect to time
Vocab
Term
Approximates short stretches of the curve at y=f(x) with line segments
The product of two differentiable functions u and v is differentiable
The derivative of an acceleration function with respect to time
If you cannot find the limit directly, it will be inbetween two limits who meet at a common point
The limit of a constant times a function is the constant times the limit of the function
A body's average rate of change of its position y=f(t)
If F'(x)=f(x)for all x in the domain of f
f with the respect to the variable x is the function f ' whose value is f'(x)= lim h->0 f(x+h)-f(x)/h,provided the limit exists
Where the slopes of the secant lines approach infinity from one side and negative infinity from the other
A curve at a point is the line perpendicular to the tangent at that point
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