1. Use the definition of the derivative to compute the derivative of the function f(x)= =...

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1. Use the definition of the derivative to compute the derivative of the function f(x)= = 2. Given the function find the average rate of change (a) from 2-3 to z = 0 [5 pts] (b) on the interval [-3,7] [5pts] 2e +5-8 ifz<0 if x=0 if a > 0 f(x) = 10 3x² -6 3. A drug is administered to a patient by injection. The concentration C(t) of the drug in the patient's bloodstream t minutes after injection is given by C(t) some unknown function, where C is measured in milligrams per lite (mg/L). (a) What are the units of C'(t)? [4pts] (b) It turns out that C'(3)= -2.83. Give a biological interpretation of the meaning of this expression in this context. [6 pts] 4. The following graph is the curve of the function f(x). Sketch the graph of the derivative f'(x). Be sure to label the zeros of f'(a). [10 pts] (-2.655,-2.685) (-0.705, 5.605) 0 [10 pts] (2.7, 1.225) (1.479,-0.641) 1. Use the definition of the derivative to compute the derivative of the function f(x)= = 2. Given the function find the average rate of change (a) from 2-3 to z = 0 [5 pts] (b) on the interval [-3,7] [5pts] 2e +5-8 ifz<0 if x=0 if a > 0 f(x) = 10 3x² -6 3. A drug is administered to a patient by injection. The concentration C(t) of the drug in the patient's bloodstream t minutes after injection is given by C(t) some unknown function, where C is measured in milligrams per lite (mg/L). (a) What are the units of C'(t)? [4pts] (b) It turns out that C'(3)= -2.83. Give a biological interpretation of the meaning of this expression in this context. [6 pts] 4. The following graph is the curve of the function f(x). Sketch the graph of the derivative f'(x). Be sure to label the zeros of f'(a). [10 pts] (-2.655,-2.685) (-0.705, 5.605) 0 [10 pts] (2.7, 1.225) (1.479,-0.641)

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