what is the chain rule for derivative?
Google already gives you the answer, :)
I already did
That is, if f and g are functions, then the chain rule expresses the derivative of their composition f ∘ g (the function which maps x to f(g(x)) in terms of the derivatives of f and g and the product of functions as follows: ( f ∘ g ) ′ = ( f ′ ∘ g ) ⋅ g ′ .
That's what I have found.
Derivatives of inverse functions. f ( g ( x ) ) = x . {\displaystyle f(g(x))=x.} Because the functions f(g(x)) and x are equal, their derivatives must be equal. The derivative of x is the constant function with value 1, and the derivative of f(g(x)) is determined by the chain rule.
Exactly what are you hoping to learn by asking this question, if you've already googled "chain rule?" Please be specific. The chain rule comes into play when you're working with composite functions, that is, the type of function where the input to one function is another function, e. g., f(g(x)).
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