• ryuee29
• 15

Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 1 - 4 out of 15 pages.

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.

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 15 pages?