8concave up? For what values of x is Derivatives; 2nd derivatives & concavity
9If f(1)=2 and f’(1)=5, use the equation of the tangent line to the graph of f(x) at x=1 to approximate f(1.2).Finding & using equation of tangent line
10The graph of f ‘(x) is shown at right. Which of the following could be thegraph of f (x)?f ‘(x)A.B.C.D.E.Graphs of f ‘ and f
11statements is true about the figure at right? Which of the followingstatements is true about thefigure at right?-7-35A.existsB.existsC.Limits (graphically), continuity; MVTD.E.
121 2 3 4 How many points of inflection are there for the function ? on the interval1234Second derivatives, including Chain Rule & trig; Points of Inflection
13GRAPHING CALCULATOR ALLOWED . Consider the function For what value(s) of x is the slope of the tangent lineequal to 5?Derivative as slope of tangent line; using graphing calculator to solve equations
14A pebble thrown into a pond creates circular ripples such that the rate of change of the radius is 6 cm/sec.How fast is the area of the ripple changing when thecircumference is cm?sq.cm./sec.sq.cm./sec.sq.cm./sec.Related ratessq.cm./sec.sq.cm./sec.
150.396 0.955 1.350 1.910 Undefined GRAPHING CALCULATOR ALLOWED Find the average rate of change ofon the interval.0.3960.9551.3501.910UndefinedARoC; secant
16In the figure shown at right, which of the following is true? B.C.D.E.Limits, including one-sided; differentiability; MVTThe average rate of change of f(x) on [1,3] equals
17A function f(x) is continuous on [a,b]. Which of the following must be true?f has a maximum on [a,b]B. f has a point of inflection on [a,b]for at least one c in the interval [a,b]C.D.for at least one c in the interval [a,b]E. f has a critical value on the interval (a,b)Absolute extrema; MVT; critical values
18If, thenRelationship between velocity & acceleration; ln derivatives; evaluating derivatives
19CHALLENGE!Limit definition of derivative; derivative of ln; derivative of derivative