MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - JEE MCQ
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12 Questions MCQ Test - MCQ (Previous Year Questions) - Differentiation (Competition Level 1)
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) for JEE 2024 is part of JEE preparation. The MCQ (Previous Year Questions) - Differentiation (Competition Level 1) questions and answers have been prepared
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MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 1
If y = logy x, then dy/dx =
[AIEEE 2002]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 1
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 2
If x = 3 cos θ – 2 cos3 θ and y = 3 sin θ – 2 sin3 θ, then dy/dx =
[AIEEE 2002]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 2
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MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 3
[AIEEE-2002]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 3
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 4
If f(x) = xn, then the value of f(1) - 
[AIEEE 2003]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 4
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 5
Let f(x) be a polynomial function of second degree. If f(A) = f( – 1) and a, b, c are in A.P. then f' (a), f'(b) and f'(c) are in-
[AIEEE 2003]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 5
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 6
[AIEEE 2004]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 6
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 7
[AIEEE 2006]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 7
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 8
Let y be an implicit function of x defined by x2x – 2xx cot y – 1 = 0. Then y’(1) equals-
[AIEEE 2009]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 8
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 9
Let f : (–1, 1) → R be a differentiable function with f(0) =– 1 and f’(0) = 1. Let g(x) = [f(2f(x)+2)]2, then g’(0) =
[AIEEE 2010]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 9
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 10
[AIEEE 2011]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 10
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 11
[JEE 2007, 3]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 11
MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 12
Let g(x) = ln f(x) where f(x) is a twice differentiable positive function on (0, ∞) such that f(x + 1) = x f(x). Then for N = 1, 2, 3 ;
[JEE 2008]
Detailed Solution for MCQ (Previous Year Questions) - Differentiation (Competition Level 1) - Question 12
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