24 lines
685 B
Markdown
24 lines
685 B
Markdown
---
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id: mat-03-derivative-applications
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title: "Applications of derivatives"
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---
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# Applications of derivatives
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## Increasing decreasing and extrema
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Use the sign of the derivative to determine where a function increases or decreases, and locate maxima or minima.
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## Optimization workflow
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Typical steps:
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1) define the objective function
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2) compute derivative
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3) find critical points
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4) test candidates (including endpoints if relevant)
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5) interpret the solution
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## Related rates idea
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Differentiate an equation relating variables with respect to time to connect their rates of change.
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## Error and sensitivity
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Derivatives quantify sensitivity: how much output changes per unit input.
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