Yes. Just remember that it's important to grasp the idea behind derivatives before you learn the easier formulas. That's why they do it that way: so you know why something happens before knowing an easier way to get there. Knowing why is essential to more difficult stuff.
I was confused because when they were creating the derivative they integrated functions or something and I didn't know what they were doing. But the books shows a shortcut for calculating the derivative:
F(x) = (x^n) is the original
F(x) = (nx^n-1) is the derivative
Were you all shown this?