What is the derivative of sin(ln x) + cos(ln x) with respect to x at x = e?

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NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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Answer (Detailed Solution Below)

Option 1 :
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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CONCEPT:

CALCULATION:

Let f(x) = sin(ln x) + cos(ln x)

As we know that, 

⇒ 

⇒ 

As we know that, ln(e) = 1

⇒ 

Hence, option 1 is correct.

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