Find the derivative dy/dx

Question

y=5uv⁴ (assume that u and v are dependent on the variable x)

Answer 1

Product Rule says

 dy/dx = 5v^4 du/dx+ 20uv^3 dv/dx = (5v^3)( v du/dx+4u dv/dx)

Answer 2

Use the product rule combined with the chain rule.

 

y = 5uv⁴

 

dy/dx = 5[(du/dx)v⁴ + u(4v³)dv/dx]