Find the Derivative - d/dg f(g(x))

Problem

(d(ƒ)*(g(x)))/d(g)

Solution

1. Identify the independent variable of the differentiation, which is g

2. Recognize that the expression ƒ*(g(x)) is a function ƒ whose argument is g(x)

3. Treat the term g(x) as a single variable g because the derivative is being taken with respect to g not x

4. Apply the definition of the derivative for a function ƒ with respect to its input variable g

Final Answer

(d(ƒ)*(g(x)))/d(g)=ƒ′*(g(x))

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