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the first derivative of a function (sin2x cos2x cos3x+log 2 2 x+3 ) with respect to x at x= π is 0 1 -1 does not exist

the first derivative of a function (sin2x cos2x cos3x+log22x+3) with respect to x at x= π is
  1. 0
  2. 1
  3. -1
  4. does not exist 

Grade:11

1 Answers

Aditya Gupta
2080 Points
2 years ago
obviously log22x+3= x+3
now let f(x)= sin2x cos2x cos3x+log22x+3= sin2x cos2x cos3x+x+3
then f’(x)= 2cos2xcos2x cos3x+sin2x*g’(x)+1, where g(x)= cos2x cos3x
now f’(pi)=  2cos2picos2picos3pi+sin2pi*g’(pi)+1
= – 2 + 0 + 1
=  – 1
kindly approve :)

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