Question

use the product rule to differentiate the function.
g(x)=(x^2 +1 )(x^2-2x).

Answer 1

If I were you, I would first multiply it out and then take the derivative before using the product rule. That way, it's a check to make sure you did it correctly.

Answer 2

If you multiply it out g(x) becomes:

\[g(x)=x^4−2x^3+x^2−2x \]
g'(x) becomes:
\[g′(x)=4x^3−6x^2+2x−2 \]

When you use multiplication rule for this, you should get the same answer.