1
AIEEE 2010
MCQ (Single Correct Answer)
+4
-1
Let $$f:\left( { - 1,1} \right) \to R$$ be a differentiable function with $$f\left( 0 \right) = - 1$$ and $$f'\left( 0 \right) = 1$$. Let $$g\left( x \right) = {\left[ {f\left( {2f\left( x \right) + 2} \right)} \right]^2}$$. Then $$g'\left( 0 \right) = $$
2
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
Let $$y$$ be an implicit function of $$x$$ defined by $${x^{2x}} - 2{x^x}\cot \,y - 1 = 0$$. Then $$y'(1)$$ equals
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The set of points where $$f\left( x \right) = {x \over {1 + \left| x \right|}}$$ is differentiable is
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
If $${x^m}.{y^n} = {\left( {x + y} \right)^{m + n}},$$ then $${{{dy} \over {dx}}}$$ is
Questions Asked from Differentiation (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
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