Chain Rule With A Logarithmic Function

Question

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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