Average Velocity
Key Questions
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Average velocity is defined as total displacement/ total time taken for that
Given,
#s=3t^2 -6t# So,displacement in between
#2s# and#5s# is#s=3[t^2]_2^5 -6[t]_2^5=3(25-4)-6(5-2)=45m# So,average velocity =
#45/(5-2)=15 ms^-1#
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