Question

How do you find the derivative of #y=x^6?

Answer 1

The derivative is: `f'(x)=6x^5`. See explanation.

Explanation:

The Power Rule says that:

For any real constant `alpha` and a function `f(x)=x^alpha` the function's derivative is `f'(x)=alpha*x^(alpha-1)`

If we apply the above rule to the function `y=x^6` we get: `y'=6x^5`