Chain rule with a measured input
Let y = (2x+1)^4. A sensor reports x = 1. Use dy/dx = 4(2x+1)^3 * 2.
- Differentiate the outer fourth power.
- Multiply by the inner derivative 2.
- Then substitute x=1.
derivatives from definitions and efficient rules
Let y = (2x+1)^4. A sensor reports x = 1. Use dy/dx = 4(2x+1)^3 * 2.
Pause. Find what matters. Then make your move.