Q. 755.0( 2 Votes )
Choose the correct answer out of 4 options given against each Question
If f(x) = x100 + x99 + … x + 1, then f’(1) is equal to
A. 5050
B. 5049
C. 5051
D. 50051
Answer :
f(x)=x100 + x99 + ………….x + 1
f'(x) = 100x99 + 99x98 +…… + 1
f'(1) = 100(1)99 + 99(1)98 + …… + 1
[Using Arithmetic Progression, where d = -1, a = 100 & n = 100]
= 50 (200 – 99)
= 50 (101)
= 5050
Hence Option (A) is the correct answer.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Cell - The unit of Life - 0268 mins
All about Enzymes | A thorough lecture47 mins
Stem and its modifications47 mins
Features, similarities and dissimilarities between bryophytes and pteridophytes51 mins
Biomolecules | Check your understanding | Interactive Quiz32 mins
Questions Discussion of Biomolecules48 mins
Introduction To Cell Division60 mins
Vision NEET | Lets go deep into our "Eye"46 mins
Digestion & Absorption | Quiz/Test TimeFREE Class
NCERT Exemplar| Locomotion and Movement Part 130 mins
Cell - The unit of Life - 0268 minsAll about Enzymes | A thorough lecture47 minsStem and its modifications47 minsFeatures, similarities and dissimilarities between bryophytes and pteridophytes51 minsBiomolecules | Check your understanding | Interactive Quiz32 minsQuestions Discussion of Biomolecules48 minsIntroduction To Cell Division60 minsVision NEET | Lets go deep into our "Eye"46 minsDigestion & Absorption | Quiz/Test TimeFREE ClassNCERT Exemplar| Locomotion and Movement Part 130 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
