Suppose that we know that the function f(x) is differentiable at = a, then what must always be true? O a) f(a) is defined O b) None of these O) f(x) is continuous at x = a O d) All of these e) the graph of ƒ has a tangent line at (a, f(a))
Suppose that we know that the function f(x) is differentiable at = a, then what must always be true? O a) f(a) is defined O b) None of these O) f(x) is continuous at x = a O d) All of these e) the graph of ƒ has a tangent line at (a, f(a))
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:Suppose that we know that the function f(x) is differentiable at = a,
then what must always be true?
O a) f(a) is defined
O b) None of these
Oc) f(x) is continuous at x = a
O d) All of these
e) the graph of ƒ has a tangent line at (a, f(a))
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