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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