Application of Derivatives 2 Question 32

32. Given A=x:π6xπ3 and f(x)=cosxx(1+x). Find f(A).

(1980,2M)

Show Answer

Answer:

Correct Answer: 32. (a, c)

Solution:

  1. Given, A=x:π6xπ3

and f(x)=cosxxx2

f(x)=sinx12x=(sinx+1+2x)

which is negative for xπ6,π3

f(x)<0

or f(x) is decreasing.

Hence, f(A)=fπ3,fπ6

=12π31+π3,32π61+π6



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक