Question

compute dy/dx if y = u^3/2, u = 4x + 1

Answer 1

dy/du = (3/2)u^(1/2)

du/dx = 4

dy/dx = (dy/du)(du/dx)
= (3/2)u^(1/2)(4)
= 6u^(1/2)
= 6(4x+1)^(/2)
= 6√(4x+1)