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himani_manoj (0)

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Respected sir,
I am Himani Mishra and this for the first time I am asking subject related doubts like this on net. Please tell me that how many doubts can I ask you in one time?
In following Q?s I tried them and I got an answer also but it was not matching with the option given in the book (arihant) kindly send me solution as early as possible.  
 
 
Q.1 If y = log10 x + log x 10 + log x x + log10 10 then find dy/dx?
Q.2 If y = [4 + {4 + (4 + x2)} 1/2 ] 1/2  then find dy/dx?
 
Q.3 If y = f [(3x + 4) / (5x + 6)] and f `(x) = tan x2?
Q.4 If f `(x) = sin x + sin 4x. Cos x, then f ` (2x2 + p/2) is?
     The answer I got is  {Cos (2x 2) - Sin 8x2. Sin 2x2} and it is there in the alternatives but the correct answer mentioned by book is different. Where am I making the mistake?
 
Q.5 If f ` (x) = (2x2  - 1) 1/2  and y = f (x2 ), then dy/dx at x = 1, is?
      My answer was 1 but answer mentioned in book is 2, how?
Thanking you,
Himani mishra
 
    
 

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