ds/dt
Definition
ds/dt represents the derivative with respect to time. It measures how much one variable changes with respect to another variable (usually time).
Analogy
Think about pouring water into a cup. ds/dt would represent how quickly the water level in the cup is rising over time. It tells us how fast something is accumulating or changing with respect to time.
Related terms
Velocity: Velocity is defined as the derivative of displacement with respect to time, representing how fast an object's position changes over time.
Acceleration: Acceleration is defined as the derivative of velocity with respect to time, indicating how quickly an object's velocity changes over time.
Chain Rule: The chain rule allows us to find derivatives when functions are composed together, such as finding ds/dt when s depends on multiple variables.
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