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If y^{2} = P(x) , a polynomial of degree 3, then
Let f (x) be a quadratic expression which is positive for all the real values of x. If g(x) = f (x) + f '(x) + f ''(x), then for any real x,
If y is a function of x and log (x + y) – 2xy = 0, then the value of y' (0) is equal to
If f(x) is a twice differentiable function and given that f(1) = 1; f(2) = 4, f(3) = 9, then
Let g (x) = log f (x) where f (x) is twice differentible positive function on (0, ∞) such that f (x + 1) = x f (x). Then, for N = 1, 2, 3, ...........
Let f : [0, 2] → R be a function which is continuous on [0, 2] and is differentiable on (0, 2) with f (0) = 1. Let
x ∈ (0,2) , then F(2) equals
be differentiable functions such that f(x) = x^{3} + 3x + 2, g(f(x)) = x and h (g(g(x))) = x for all
447 docs930 tests

Test: Second Order Derivatives Test  10 ques 
JEE Advanced Level Test: Continuity and Differentiability 2 Test  30 ques 
JEE Advanced Level Test: Continuity and Differentiability 3 Test  13 ques 
JEE Advanced (Subjective Type Questions): Limits, Continuity & Differentiability Doc  9 pages 
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447 docs930 tests

Test: Second Order Derivatives Test  10 ques 
JEE Advanced Level Test: Continuity and Differentiability 2 Test  30 ques 
JEE Advanced Level Test: Continuity and Differentiability 3 Test  13 ques 
JEE Advanced (Subjective Type Questions): Limits, Continuity & Differentiability Doc  9 pages 
JEE Advanced (Subjective Type Questions): Differentiation Doc  3 pages 