Differentiating x^n where n is a negative integer
Differentiation
Mathematical Methods: Units 3 and 4
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This video takes a look at differentiating negative powers. After a short recap on how to differentiate functions with positive powers, I look at the idea of what functions look like when the x value is on the denominator. and how this means the graph will not be defined at the point where x=0. Knowing this helps us know which points of the graph can and can't be differentiated. Moving on, I look at how to negative powers can be turned into positive powers and vice versa. Using this knowledge I show how we can differentiate any function with a positive and negative power.
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differentiating negative powers differentiation at a point differentiation calculus differentiation of negative power calculus differentiation negative powers negative exponents mathematical methods VCE Math Methods Methods 3 and 4 Mathematical Methods good videos differentiation rules calculus differentiation formulas calculus