Derivatives
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At the top and bottom of a curve (Max and Min), the slope is zero. The second derivative shows whether the curve is bending down or up. Here is a real-world example of a minimum problem: What route from home to work takes the shortest time?
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Calculus-Derivative: Finding the slope (or derivative) of a curve at a particular point.
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Using derivatives to solve rate-of-change problems.
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Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series).
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Chain rule using partial derivatives (not a proof; more intuition).
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Doing both proofs in the same video to clarify any misconceptions that the original proof was "circular".
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Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x.
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More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2.


