Find dy/dx for implicit relations x² + y² = r² at a point.
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dy/dx
-0.750000
x² + y² = r² → 2x + 2y·dy/dx = 0 → dy/dx = −x/y
Steps
| Step | Detail |
|---|---|
| 1 | x² + y² = 25.0000 |
| 2 | Differentiate: 2x + 2y·dy/dx = 0 |
| 3 | At (3.0000, 4.0000): dy/dx = -0.750000 |
Find dy/dx for implicit relations x² + y² = r² at a point. Differentiate both sides treating y as y(x), then solve for dy/dx.
Differentiate both sides treating y as y(x), then solve for dy/dx.
x² + y² = 25 at (3, 4): dy/dx = −3/4.
Uses the y value you enter — pick + or − branch for circles.