7. (Graphically -Vertical Tangent Line!) The function f (x) = x1/3 is continuous at x = 0, however f(x) - f(0) lim %3D x- 0 so we can conclude that the tangent line is vertical at x = 0. So f is not differentiable at x = 0.
7. (Graphically -Vertical Tangent Line!) The function f (x) = x1/3 is continuous at x = 0, however f(x) - f(0) lim %3D x- 0 so we can conclude that the tangent line is vertical at x = 0. So f is not differentiable at x = 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.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...
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