Which of the following are equivalent to asking "Find the derivative of 𝑓 ( 𝑥 ) = 𝑥 2 at 𝑥 = 3 "? (Select all that apply.)多项选择题
A
Find 𝑓 ′ ( 3 ) if 𝑓 ( 𝑥 ) = 𝑥 2 .
B
Compute the limit lim ℎ ⟶ 0 ( 3 + ℎ ) 2 − 3 2 ℎ
C
Find the average velocity of 𝑓 ( 𝑥 ) = 𝑥 2 on the interval [ 0 , 3 ] .
D
Compute the limit lim 𝑥 ⟶ 3 ( 3 + 𝑥 ) 2 − 3 2 𝑥 − 3
E
Find the difference quotient of 𝑓 ( 𝑥 ) = 𝑥 2 at 𝑥 = 3 .
F
Find the slope of the tangent line to the graph of 𝑓 ( 𝑥 ) = 𝑥 2 at the point ( 3 , 9 ) .
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