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APPLICATIONS OF DERIVATIVES JAN '01-20-2026'
Автор: Triaright Solutions LLP
Загружено: 2026-01-21
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Описание:
Applications of Derivatives
Derivatives are widely used to analyze change, optimize outcomes, and model real-world behavior. They play a vital role in mathematics, science, engineering, economics, and machine learning.
1. Rate of Change
Derivatives measure how one quantity changes with respect to another.
Speed & Velocity:
Derivative of distance with respect to time gives velocity.
Acceleration:
Second derivative of position with respect to time.
Example:
If
𝑠
(
𝑡
)
s(t) is distance, then
𝑣
(
𝑡
)
=
𝑑
𝑠
𝑑
𝑡
v(t)=
dt
ds
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