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If y = u2 + log u and u = ex, then find 

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AAI ATC Junior Executive 21 Feb 2023 Shift 1 Official Paper
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  1. 1 + e2x
  2. 1 + e-2x
  3. 1 + 2e2x
  4. 1 + 2e-2x

Answer (Detailed Solution Below)

Option 3 : 1 + 2e2x
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Detailed Solution

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Given:

y = u2 + log u and u = ex

Concept:

Use concept of chain rule 

And 

Calculation:

Now, differentiate with respect to 

Now differentiate with respect to 

Now put the values of 

Hence the option (3) is correct.

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