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393326020-Calculus-Exam-With-Answer.txt - Chapter 3...

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Chapter 3 Worksheet PacketAP Calculus ABName
Calculus Practice: DerivativesFind the derivative and give the domain of the derivative for each of thefollowingfunctions. If the derivative does not exist at any point, explain why andjustify youranswer.1) f (x) = x42) f (x)= x'3) f (4)Find the equation of the tangent line to the graph of f (x) at the point P.25) f (x)P (1,2)26) f (x) = x 3 +2x P(8,20)7) Find the velocity of the particle at time t = 3 if the position function forthe particle isgiven by s (t)— 2t .8) Find the x values of all points on the graph of y = x 4 — 2x 2 where thetangent line ishorizontal.
AP Calculus Practice (3.1-3.3)For each of the following functions, find the derivative. For each derivative,determine allvalues for which the derivative does not exist. For each of these valuesdetermine if thederivative does not exist due to a discontinuity, a corner point, a cusp, or averticaltangent line.23x 3"(x)= X 3 + 12) f (x)= 4x (3x 4 —x53)4) f (x)= 2x (5x35)6) J. (x) =Find the equation of the tangent line to the graph of the given function at thegiven point.

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