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Grade 12Differential Calculus

Differential of log^n x

Profile image of milind
12 Years agoGrade 12
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1 Answer

Profile image of Jitender Singh
12 Years ago
Ans:
Ans:
f(x) = log^{n}(x)
f(x) = \frac{n.log^{n-1}(x)}{x}
t = log(x)
f(x) = t^{n}
f'(x) = n.t^{n-1}.\frac{dt}{dx}
\frac{dt}{dx} = \frac{1}{x}
f'(x) = n.t^{n-1}.\frac{1}{x}
f'(x) = n.(log(x))^{n-1}.\frac{1}{x}
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Jitender Singh
IIT Delhi
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