3.4 Derivative as a Rate of Change.pdf - 3.4 Derivative as...

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3.4 Derivative as a Rate of Change Recall that the derivative = instantaneous rate of change. f 0 ( x o ) = lim h 0 f ( x 0 + h ) - f ( x 0 ) h provided this limit exists. From here on, when we say " rate of change", we mean the instantaneous rate of change. 1 / 4
3.4 Derivative as a Rate of Change Recall that the derivative = instantaneous rate of change. f 0 ( x o ) = lim h 0 f ( x 0 + h ) - f ( x 0 ) h provided this limit exists. From here on, when we say " rate of change", we mean the instantaneous rate of change. Example:How fast is the area of a circle increasing (with respect tothe radius) when the radius is8ft? 1 / 4
Linear Motion: Position Function, Velocity and Speed Suppose an object is moving along a coordinate line where its position at time t is described by a function s = f ( t ) , called the position function .