How do I differentiate expressions involving powers of?x?

• Powers of?x?are differentiated according to the following formulae:

• Differentiating terms with positive integer powers of?x?is straightforward

• But negative and fractional powers of?x?can also be differentiated this way

• Don't forget these two special cases:

• These allow you to differentiate constants and linear terms in?x

• If the expression involves a sum or difference of terms just differentiate one term at a time