a. y = sin(2x+3)

misal u = 2x+3

du = 2 dx

du/dx = 2

y = sin(u)

dy = cos(u) du

dy/du = cos(u) = cos(2x+3)

aturan rantai:

du/dx × dy/du = dy/dx

2 × cos(2x+3) = dy/dx

2cos(2x+3) = y'

b. y = cos(3x-4)

misal u = 3x-4

du = 3 dx

du/dx = 3

y = cos(u)

dy = -sin(u) du

dy/du = -sin(u) = -sin(3x-4)

aturan rantai:

du/dx × dy/du = dy/dx

3 × (-sin(3x-4)) = dy/dx

-3sin(3x-4) = y'

c. y = -sin(-4x-1)

misal u = -4x-1

du = -4 dx

du/dx = -4

y = -sin(u)

dy = -cos(u) du

dy/du = -cos(u) = -cos(-4x-1)

aturan rantai:

du/dx × dy/du = dy/dx

-4 × (-cos(-4x-1)) = dy/dx

4cos(-4x-1) = y'