MOST IMPORTANT QUESTIONS FOR CET, IIT-JEE, AIEEE ..etc ALL ENTRANCES

Most Important Questions                  [ DERIVATIVE ]    

MOST IMPORTANT QUESTIONS FOR CET, IIT-JEE, AIEEE ..etc  ALL ENTRANCES.

  

   Multiple choice Questions (part.1)

[JEE, NEET ,CET ,AIEEE, IITJEE Advanced ]



1) 3x^2+2xy+y^2 =6 then dy/dx at (1,1) is             .......       {IIT 1990} 

(a) 1              (c) 2
(b)-1              (d)-2 


Ans.*(d)


2) If f(x) is an odd differentiable function defined on( negative infinity , infinity )such that f'( – 3)=2 then f'(- 3) is equal to........             {IIT 1992}
(a) 0                 (c)2
(b) 1                 (d)4


Ans.*(c)



3)if y=f(x) is an even function such that f'(0) exists , then f'(0) equals...............  {IIT 1987}

(a)0                     (b) 1
(b) -1                   (d) none of these 



Ans* (a)


4) if y= log[sec(e^x^2)] then dy/dx is ........          [CET 1996]
(a) 2x[tan(e^x2  )]e^x2
(b)2x[(sec e^x2)tan e^x2 ]
(C)e^x2 .tan e^x2
(d) e^x2    .tane^x2



Ans* (a)


5) if f(x)=log ā[logā x] then f'(x) is ..... 
         (Delhi college of engineering.  Entrances 1998)

(A) logā e / x logē x
(B) log ē a / x. Log ā x
(C) logē a / x
(D) x/ logē a

Ans*(a)



(6) if x^2+y^2 =1 then .....
        [IIT Screening 2000]

(A) yy"-2y'^2 +1 =0
(B) yy"+y'^2+1=0
(C)yy"-y'^2-1=0
(D)yy"-2y'^2+1 =0



Ans*(b)


7) if f(x)  = x+2 for -1<x<3
                = 5  for x=3
                = 8-x for x>3
    Then at x=3,f'(x)=.....[MP CET 2001]


(A) 1                  (c) 0
(B) -1                  (d) does not exit



Ans* (d)



8) if 2^x +2^y = 2^x+y , then the value of dy/dx at x=y=1 is  .......
   [MP CET 1995]

(A) 0 
(B) 1
(C) -1
(D) 2



Ans*(B)



Derivative IMPORTANT FORMULA FOR REVISION. 





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