Consider the following piecewise function: /(x) = Oxx, x < 0 XCOLX 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Consider the following piecewise function: f(x) =
XCOLE x<0
0≤x≤4
a. Use the first principles definition of a derivative to determine f'(x) when 0 < x < 4
b. Determine f"(3)
c. Determine the equation of the tangent to f(x) when x = - =
d. Determine f'(x) when x > 4
e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer...
Transcribed Image Text:Consider the following piecewise function: f(x) = XCOLE x<0 0≤x≤4 a. Use the first principles definition of a derivative to determine f'(x) when 0 < x < 4 b. Determine f"(3) c. Determine the equation of the tangent to f(x) when x = - = d. Determine f'(x) when x > 4 e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer...
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