Answer:
1. 36 -24x
2. -6x/ (3x^2+5)^2
Explanation:
2.
y = 1 - 3u^2
dy/dx = -6u du/dx
We can find du/dx
u = 3 -2x
du/dx = -2
Substituting back in for u and du/dx
dy/dx = -6u du/dx
dy/dx = -6 (3-2x) (-2)
dy/dx = 12 (3-2x)
= 36 -24x
6. y = 1/u = u ^ -1
dy/dx = -1 u^-2 du/dx
u = 3x^2 +5
du/dx = 6x
Substituting back in for u and du/dx
dy/dx = - (3x^2+5) ^-2 (6x)
= -6x/ (3x^2+5)^2