Defining Average and Instantaneous Rates of Change at a Point
Alright, let's kick this thing off by defining what we mean by 'rate of change.' You've actually bee
Defining the Derivative of a Function at a Point
Now that we've wrestled with the idea of instantaneous rate of change, it's time to give it a proper
Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
Alright, so we know what a derivative is. But when can we *actually* find one? This brings us to a c
Applying the Power Rule
Phew! We've done the hard work of defining the derivative with limits. Now, it's time for some short
Derivatives of e^x and ln x
Alright, let's talk about two of the most important transcendental functions in all of mathematics:
Derivatives of Inverse Trigonometric Functions
Alright, get ready to expand your derivative arsenal even further! We're tackling the derivatives of
Derivatives of Other Transcendental Functions (Trig Functions)
Moving right along, we're almost done building our basic derivative toolkit! Here, we'll master the
The Chain Rule
This is it, folks! The grand finale of our derivative rules introduction! The **Chain Rule** is argu