Derivatives
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Last updated 1:29 AM on 11/11/22
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17 Terms
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Sin
Cos
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Cos
-Sin
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Tan
Sec2
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Sec
Sec x Tan
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Csc
-Csc x Cot
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Cot
-Csc2
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If f is differentiable at the point g(x), and g is differentiable at x, then the composite function (f o g)(x) or f(g(x)) is differentiable at x
Chain Rule
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A function where f'(x) exists at every point of its domain.
Differentiable Function
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The change in position over time
Displacement
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The rate of change (slope) at one point on a graph
Instantaneous Rate of Change
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If a and b are any 2 points in an intervol on f'(x), every point in between exists
Intermediate Value Theorem
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The rate of change of acceleration over time
Jerk
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A method used to differentiate functions by employing the logarithmic derivative of a function f
Logarithmic Differentiation
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The cost added by producing one additional unit of a product or service.
Marginal Cost
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The increase in revenue that results from the sale of one additional unit of output
Marginal Revenue
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The product of two differentiable functions u and v is differentiable
Product Rule
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At a point where v does not equal 0, the quotient of y=u/v of two differentiable functions is differentiable
Quotient Rule