Selecting Procedures for Calculating Derivatives Practice Test

Differentiate using the product rule after rewriting as $\ln(\sqrt{1+x^2})\cdot 1$.

Differentiate using log properties to rewrite as $\tfrac12\ln(1+x^2)$, then apply the chain rule.

Differentiate using the quotient rule after rewriting as $\dfrac{\ln(1+x^2)}{\ln(\sqrt{1+x^2})}$.

Differentiate by expanding $\sqrt{1+x^2}$ into a binomial series, then differentiating.

Differentiate using implicit differentiation by exponentiating to remove the logarithm.