# Differentiate Exponential

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

To determine the slope of the tangent line to a function at a specific point, find the derivative of the function, which represents the slope at any point. Then, substitute the given point into the derivative to calculate the exact slope of the tangent line there.

Posted by Ryan Burke a year ago

## Related Problems

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

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

For the following problem, find the derivative of $f(x) = 5^{x^{3} - 4}$

Use logarithmic differentiation to find the derivative in the following example

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