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