Computing using the chain rule

Question

Assignment:

Let f: R³→ R² be given by

f((x,y,z)) = (x² + y²z² + yz²)

and let g: R² → R² be given by

g((u,v)) = (log(1 + u²v²), u³v).

Use the Chain Rule to compute (g o f)' at (1,0,1).

Provide complete and step by step solution for the question and show calculations and use formulas.