Question

If y=(x^3+1)^2 then dy/dx=?

Answer 1

Hey :)\[\large\rm y=(x^3+1)^2\]Power rule on the `outer function`:
( )^2 becomes 2( )
Then we apply chain rule:\[\large\rm y'=2(x^3+1)\color{royalblue}{(x^3+1)'}\]Chain rule says, multiply by the derivative of the inside.
So this blue and prime is showing that we still need to take this derivative.