If f(x) = 2x, then what is  equal to?

This question was previously asked in
NDA 02/2021: Maths Previous Year paper (Held On 14 Nov 2021)
View all NDA Papers >
  1. 4 ln 2
  2. ln 4
  3. ln 5
  4. 8 ln 2

Answer (Detailed Solution Below)

Option 4 : 8 ln 2
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

Download Solution PDF

Given:

f(x) = 2x

Formula used:

, Where 

Calculation:

We have f(x) = 2x     ----(i)

⇒ f'(x) = 2In(2)    ----(ii)

Now, We have to find the value of 

Form equation (i) and (ii), we get 

 

⇒ 

 In(2) [10 - 2]

⇒ 8 In(2)

∴​ The value of  is equal to 8 In(2).

Latest NDA Updates

Last updated on Jun 18, 2025

->UPSC has extended the UPSC NDA 2 Registration Date till 20th June 2025.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.

-> The selection process for the NDA exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. 

-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

Hot Links: teen patti casino apk teen patti 50 bonus teen patti bonus teen patti download apk real cash teen patti