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Finding note of function set position win t time i of position velocity want acceleration ult act time i ie rate of change of velocity Average rate of change 44ft ton a in f as input changes from ia In s ka Slope of the secant joining the points line ikat C fay I G fay gradually become line to ye fail at Cafeal the tangent the averages of rate of change in f between a instantaneous rate of change in f slope of tangent the to at ii a y fail at y gg Iim fail feat of x t IIa fhti at a I limit of joining Ca Fca the slopes of the secant lines C fly from Q 3 21 for find avg rate of and find the instantaneous rate of change of change of f between a L Kantz a L Az Aug rate of change of f between a 2 c 2 Fat FIE 2411 m 2 24 4 Instantaneous rate of change of f at n 2 2 Rts q dim x D The derivative of f at n a ait F cat dig that denoted by f a is given by provided III It let convey a the limits exists f be differentiable at a the line tangent is Laila to the cone the line passing the point at y fail through G fca a feast i whose slope is i Fka p g g exists f is diffinatiable Not it Eg ftp t I g Eg pal Ed f a to g Is a in a t f fac at a feal find curve the equation at g fail for 2 71 tangent to the Ans La fCa G F 2 Lil Fa tf a na g It F a x s rt d distaste I 1 n 2 ya 1 th 2 I y n t III Aim Express itself functor the derivative of a function as a function f cat IIa Alternate data Let h n a R cat his flatmate as a h so fkn his faithful points in the domain is differentiable Domain of f f f n instantaneous rate of change of f in the domain of n f at any point of f where Eg Given fly Beth find plan f em find them lineathltylay Hi satshit lin hyo I 3 Eg flu lil find R o ii Floria is I n II eg As LML I RHL NII Domain of K is limit does not exist not always t f x 191 Domainof F Domain of f Ex x to SU o x

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