6. Derivatives of Inverse, Exponential, & Logarithmic Functions

Use logarithmic differentiation to find the derivative of the given function.

$y=(\(\sqrt{x+1}\))^{x}$

Use logarithmic differentiation to find the derivative of the given function.

$y=\(\sqrt{\left(\frac{x+2}{x}\]\right\))^{\(\frac\)23}\(\left\)(x^2-4\(\right\))}$

Use logarithmic differentiation to find the derivative of the given function.

$y=\(\tan\)^{x}x$