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