Which of the following are equivalent to asking "Find the derivative of f(x) = x² at x = 3"? (Select all that apply.) Compute the limit lim 2-3 Compute the limit lim h0 (3+x)²-3³ z-3 (3+h)²-3² Find the average velocity of f (x) = x² on the interval [0, 3]. Find the slope of the tangent line to the graph of f (x) = x² at the point (3,9). Find f' (3) if f(x) = x². Find the difference quotient of f (x) = x² at x = 3.
Which of the following are equivalent to asking "Find the derivative of f(x) = x² at x = 3"? (Select all that apply.) Compute the limit lim 2-3 Compute the limit lim h0 (3+x)²-3³ z-3 (3+h)²-3² Find the average velocity of f (x) = x² on the interval [0, 3]. Find the slope of the tangent line to the graph of f (x) = x² at the point (3,9). Find f' (3) if f(x) = x². Find the difference quotient of f (x) = x² at x = 3.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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