Standard Notation and Terminology
Key Questions
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#d/dx# represents the derivative with respect to#x# .
So, the first derivative is
#y'={dy}/{dx}#
the second derivative is
#y''=d/{dx}(dy/dx)={d^2y}/dx^2# ,
and so on.
Wataru
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Sep 1 2014
Questions
Derivatives
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Tangent Line to a Curve
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Normal Line to a Tangent
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Slope of a Curve at a Point
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Average Velocity
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Instantaneous Velocity
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Limit Definition of Derivative
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First Principles Example 1: x²
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First Principles Example 2: x³
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First Principles Example 3: square root of x
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Standard Notation and Terminology
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Differentiable vs. Non-differentiable Functions
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Rate of Change of a Function
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Average Rate of Change Over an Interval
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Instantaneous Rate of Change at a Point