Describes the motion of an object. The derivative of a position function s(t).
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tangent
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A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
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Implicit differentiation
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The process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately, by expressing the derivative of the dependent variable as a symbol, and by solving the resulting expression for the symbol.
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Differentiable
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A function of one real variable is a function whose derivative exists at each point in its domain.
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Continuous
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A function that is continuous at every point of the interval .
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acceleration
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Describes the motion of an object. The derivative of a velocity function v(t) or the double derivative of a position function s(t).
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Secant
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A secant is a line that intersects a circle at two points.
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position
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Given as a function of x with respect to time, x(t). An object's change in position with respect to time is known as its displacement.
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Derivative
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A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
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trigonometric derivative
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Finding the derivative of a function, or its rate of change with respect to a variable. Common functions include sin(x), cos(x) and tan(x).