AP#Calculus# # Name:## #
Derivative#at#a#Point#Practice#Date:!! !
The#function#๐(๐)#is#differentiable#for#all#values#of#๐,#and#selected#values#of#๐#and#๐โฒ#are#
given#in#the#table#below.#
๐#
-4!
-1!
2!
5!
๐ ๐ #
1!
-2!
0!
7!
๐โฒ ๐ #
-7!
3!
2!
0!
1. Write!the!equation!of!the!line!tangent!to!โ(๐ฅ)!at!๐ฅ = 2.!
!
!
2. Write!the!equation!of!the!line!to!โ(๐ฅ)!at!๐ฅ โ 4.!
!
!
3. Write!the!equation!of!the!line!tangent!to!โ(๐ฅ)!at!๐ฅ = โ1.!
!
!
4. Write!the!equation!of!the!line!normal!to!โ(๐ฅ)!at!๐ฅ = 5.!
!
!
For#each#function#๐#and#value#๐,#find#๐โฒ(๐).#
5.!๐ ๐ฅ = 5๐ฅ5โ ๐ฅ!,!๐ = 2!
6.!๐ ๐ฅ = 7๐ฅ โ 6!,!๐ = 8!
7.!๐ ๐ฅ = 2 + 9๐ฅ โ ๐ฅ5!,!๐ = 4!
8.!๐ ๐ฅ = ;
<=><!,!๐ = โ1!
