Question

What is the formula for computing the derivative of the composition of two functions (chain rule)?


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Answer

The derivative of \( F(x) = f(g(x))\) is given by: $$ F'(x) = f'(g(x)).g'(x) $$ or $$ (f \circ g)'=(f' \circ g).g' $$ or $$ \frac{dF}{dx} = \frac{df}{dg}\frac{dg}{dx} $$


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# ID Query