$F'(x)$
Definition
$F'(x)$ represents the derivative or rate at which $F(x)$ changes with respect to $x$. It measures how fast $F(x)$ is changing at any given value of $x$.
Analogy
Picture yourself climbing up a mountain trail with varying steepness. $F'(x)$ is like the slope of the trail at each point, indicating how hard you have to work to climb up or down.
Related terms
Critical Points: These are points where the derivative is either zero or undefined. They often indicate local maximums, minimums, or inflection points of a function.
Differentiability: Differentiability refers to whether a function has a well-defined derivative at every point in its domain.
Chain Rule: The chain rule is a formula used to find the derivative of composite functions, such as when one function is applied to another.
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