Q. 44.3( 12 Votes )

Differentiate the

Answer :

Given,


f(x) = ex log a + ea log x + ea log a


f(x) =


We know that, elog f(x) = f(x)


f(x) = ax + xa + aa


we need to find f’(x), so differentiating both sides with respect to x –



Using algebra of derivatives –


f’(x) =


Use the formula:


f’(x) = ax loge a – axa – 1 + 0


f’(x) = ax loge a – axa – 1


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