Question

If 4x2 + y2 = 100, then what is StartFraction d squared y Over d x squared EndFraction at (3, 8)?

Negative StartFraction 25 Over 32 EndFraction
Negative StartFraction 5 Over 16 EndFraction
Negative three-halves
Negative StartFraction 9 Over 4 EndFraction

Answer 1

4x² + y² = 100

8x + 2y(dy/dx) = 0

4x + y(dy/dx) = 0

y(dy/dx) = -4x

dy/dx = -4x/4 = (-4 × 3)/8 = -3/2