KnowraDifference quotientLinked fromLinked fromThe 16 pages that link to Difference quotient, each with the reason it gives.All 16Broader topic 5Related 10Narrower topic 1DerivativeBroader topic: Its limit as the input change shrinks gives the derivative.DifferentiabilityBroader topic: Its limit as the interval shrinks determines whether a derivative exists.Tangent lineBroader topic: Its limit as the interval shrinks produces the slope used for a tangent.Time derivativeBroader topic: The time derivative is the limiting value of this ratio as the time interval shrinks.Instantaneous velocityBroader topic: Its limit produces the derivative used to define instantaneous velocity.