Derivatives of composite functions

If f(x)=(1)/(1-x) , then the derivative of the composite function f[f{f(x)}] is equal to

Obtain derivatives of the function xsinx

The function = 6x-10=2(3x-5) is the composite of the functions y=2u and u =3x-5 . How are the derivatives of the derivaties of these three functions related ?

Differentiation Of Composite Function

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Relation between domain and function of composite functions

Illustration based upon composite functions

Composite Function Part-2

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Continuity of composite function at a point