G11 SUPER GIO
123
03
CHALLENGE MISSIONderivatives from definitions and efficient rules

derivatives from definitions and efficient rules

INDEPENDENT DEFENSEINDEPENDENT TRANSFER

Implicit slope on a circle

The curve x^2 + y^2 = 25 passes through (3,4). Differentiate implicitly: 2x + 2y y' = 0.

  1. Solve y' = -x/y.
  2. Use the coordinates only after differentiating.
  3. Interpret sign as local direction.

What is the tangent slope at (3,4)?

MODELRate-of-Change Dial
CALC
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.