differentiation of 1/x^5
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trehanmahek:
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Required Solution :-
Here we need to differentiate 1/x^5 w.r.t. x.
If f(x) = x^n then differentiation of x^n is given by the below theorum :
- d / dx (x^n) = nx^n-1
>> d / dx (1 / x^5)
>> d / dx (x^-5)
Here,
- n is -5
>> d / dx (-5x ^ -5 - 1)
>> d / dx (-5x^-6)
Therefore, differentiation of 1/x^5 is -5x^-6
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