explain algebra of differentiable function
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A differentiable function is a function that can be approximated locally by a linear function. ... In particular if f : A → R 139 Page 2 140 8. Differentiable Functions where A ⊂ R, then we can define the differentiability of f at any interior point c ∈ A since there is an open interval (a, b) ⊂ A with c ∈ (a, b). 8.1.
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Continuity of a function is the characteristic of a function by virtue of which, the graphical form of that function is a continuous wave. A differentiable function is a function whose derivative exists at each point in its domain. In this chapter, we will learn everything about Continuity and Differentiability of a function.
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