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Question

Differentiate
f(x)=loge4x2

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Solution

f(x)=log4x2e

differentiating on both sides

f(x)=d(log4x2e)dx

=14x2d(4x2)dx

(d(lny)dx=1ydydx)

=14x2(2x24x2)

=x4x2

f(x)=x4x2


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