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Chain Rule With A Logarithmic Function

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Determine the derivative of f(x)=ln(x2+1)f(x)=\ln(x^2+1) using the chain rule as suggested by the graph.

A

x2+12x\frac{x^2+1}{2*x}

B

An incorrect application might yield 2xln(x2+1)2*x*\ln(x^2+1), which multiplies instead of differentiates the logarithm.

C

2xx2+1\frac{2*x}{x^2+1}

D

2x2+1\frac{2}{x^2+1}

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