Derivative Practice Problems

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 logarithmic differentiation to find the derivative in the following example

$g(x) = \log_{3}(2x^{2} - 5x)$

Find the derivative of $h(x) = 8^{x}\log_{9}x$