Consider the absolute value function over \([-\text{1,1}]\) . This is a continuousContinuous function, with a “smooth” graph, except at \(x=0\) , where we see a “corner” in the graph. We will make these ideas more precise in this chapter where we introduce the concept of the derivative of a function.

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Differentiable Functions

  • Arturo Portnoy

摘要

Consider the absolute value function over \([-\text{1,1}]\) . This is a continuousContinuous function, with a “smooth” graph, except at \(x=0\) , where we see a “corner” in the graph. We will make these ideas more precise in this chapter where we introduce the concept of the derivative of a function.