Derivative of Log x

Determine the derivative of $f(x) = 2x^5 - 3e^{6x}$

Find the derivative of $f(x) = x^{3}e^{-2x}$

Determine the slope of the tangent line to the function $f(x) = 2e^{-3x}$at $(0,2)$

Use implicit differentiation to show that the derivative of $\ln{x} = \frac{1}{x}$ for $x > 0$

Note that many classes introduce logarithmic differentiation before implicit differentiation.