Comprehension

निर्देश: निम्नलिखित सूचना को पढ़िए और आगे आने वाले तीन प्रश्नों के उत्तर दीजिए:

मान लीजिए कि f(x) = x2 + 2x – 5 और g(x) = 5x + 30 है

यदि h(x) = 5f(x) – xg(x) है, तो h(x) का अवकलज क्या है?

This question was previously asked in
NDA (Held On: 17 Nov 2019) Maths Previous Year paper
View all NDA Papers >
  1. -40
  2. -20
  3. -10
  4. 0

Answer (Detailed Solution Below)

Option 2 : -20
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

Download Solution PDF

गणना:

दिया हुआ: h(x) = 5f(x) – xg(x), जहाँ f(x) = x2 + 2x – 5 और g(x) = 5x + 30

⇒ h(x) = 5 × (x2 + 2x – 5) – x × (5x + 30)

⇒ 5x2 + 10x – 25 – 5x2 - 30x

⇒ h(x) = -20 x – 25

⇒ h’(x) = - 20.

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. 

More Operations on Functions Questions

More Relations and Functions Questions

Hot Links: teen patti live teen patti bodhi teen patti game paisa wala