Implicit differentiation
Differentiation · Mathematics
Study notes
Q: Find dy/dx for x² + y² = 25. Differentiate: 2x + 2y·dy/dx = 0. Solve: dy/dx = −x/y. At (3,4): dy/dx = −3/4. (Matches tangent 3x+4y=25: slope −3/4 ✓.)
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Differentiation · Mathematics
Q: Find dy/dx for x² + y² = 25. Differentiate: 2x + 2y·dy/dx = 0. Solve: dy/dx = −x/y. At (3,4): dy/dx = −3/4. (Matches tangent 3x+4y=25: slope −3/4 ✓.)