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MATH 19 -
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Math 19: Calculus Winter 2008 Instructor: Jennifer KlokeQuiz 3Monday, February 41. For a function f(x), the derivative of f(x), f0(x), is a function that is defined bySolution:f0(x) = limh→0f(x + h) − f(x)hprovided this limit exists.2. Differentiate f(x) = 7x3. State any rules that you use.Solution:ddx(7x3) = 7ddx(x3) (constant multiple rule)= 7(3x2) (Power Rule)= 21x2.3. Findddx(3 + x2/3). State any rules that you use.Solution:ddx(3 + x2/3) =ddx(3) +ddx(x2/3) (sum rule)= 0 + (2/3)x2/3−1(Power Rule)= 2/3x−1/3.4. Which of the following graphs is not differentiable at x = 3?Solution: (b)5. Which of the following graphs could be the graph of f0(x) where the graph of f(x) is:f(x):Solution:
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