File:First principles differentiation demo.svg
Size of this PNG preview of this SVG file: 415 × 354 pixels. Other resolutions: 281 × 240 pixels | 563 × 480 pixels | 900 × 768 pixels | 1,201 × 1,024 pixels | 2,401 × 2,048 pixels.
Original file (SVG file, nominally 415 × 354 pixels, file size: 37 KB)
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Summary
| Description |
English: A curve demonstrating the limiting chord process of differentiation (finding the slope) of a curve by first principles. The formula is:
The red line represents the line AB, while the green line represents the tangent at A. As B gets closer to A and h gets smaller, the line AB approaches the actual tangent.
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| Date | |||
| Source | Own work | ||
| Author | Orderinchaos | ||
| Permission (Reusing this file) |
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The First Principles Formula is used to find the gradient of the curve at any point.It might interest you to know that this is actually the formula that was used to generate or develop other formula in Calculus.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:22, 31 December 2008 | | 415 × 354 (37 KB) | Orderinchaos | made the text bigger |
| 07:15, 31 December 2008 |  | 396 × 351 (37 KB) | Orderinchaos | forgot to group and limit to selection | |
| 07:13, 31 December 2008 |  | 744 × 1,052 (36 KB) | Orderinchaos | {{Information |Description={{en|1=A curve demonstrating the limiting chord process of differentiation (finding the slope) of a curve by first principles. The formula is: <math>\lim_{h\rightarrow0} \frac{f(x+h) - f(x)}{h}</math>}} |Source=Own work |Author |
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