Turunan kedua (d²y / dx²) dari 4x² + 9y² = 36 adalah... Jawaban beserta cara yak

jawab

4x² + 9y² = 36 
d(4x² +9y²)/dx = d(36)/dx
4x + 9 y (dy/dx) = 0
dy/dx = - 4x/9y

dy/dx = u/v
d²y/dx² = (9y(-4) -(-4x)(9))/(81 y²)
d²y/dx² = - 36y + 36x / (81 y²)
d²ydx² = 36(x - y)/ 81 (y²) = 4/ (9y²)

4x2 + 9y^2
d. 4x2 + 9y2 / DX = d.36 / DX
Dy / DX = - 4x / 9y

Dy / DX = u / v
d2y / dx2 = - 36 y + 36 x / 81y2
d2ydx2 = 36 ( x - y ) / 81 y2 = 4/9y2