1. What is the derivative of x⁸?
The answer is 8 x⁷.
Since the derivative of xⁿ is n × x^n-1, substituting 8 for n, we get the above result.

2. What is the derivative of x^-7 ?

3. What is the derivative of y = 2 x⁷?

4. What is the derivative of y = (1 - x) / (1 + x) ?
This problem uses the derivative law for fractions.

5. What is the derivative of y = (x³ - 1) / (x³ + 1) ?