Find the Derivative - d/dx f(x)f(x)

Problem

d()/d(x)*ƒ(x)*ƒ(x)

Solution

1. Identify the expression as the product of a function with itself, which can be written as [ƒ(x)]2

2. Apply the power rule and the chain rule to differentiate the squared function.

3. Differentiate by bringing the exponent to the front and multiplying by the derivative of the inner function.

4. Simplify the resulting expression.

Final Answer

(d(ƒ(x))*ƒ(x))/d(x)=2*ƒ(x)*ƒ(x)′

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