Differentiating Powers of x (Edexcel International AS Maths) : Revision Note
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Differentiating Powers of x
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
Examiner Tips and Tricks
Take extra care when differentiating negative and fractional powers of x as mishandling negative signs and fractions is a common way to lose marks in these sorts of questions.
Worked Example
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