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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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