If $$x{e^{xy}} = y + {\sin ^2}x,$$ then at $$x = 0,{{dy} \over {dx}} = ..............$$
Answer
$$1$$
2
IIT-JEE 1990
Fill in the Blanks
If $$f\left( x \right) = \left| {x - 2} \right|$$ and $$g\left( x \right) = f\left[ {f\left( x \right)} \right]$$, then $$g'\left( x \right) = ...............$$ for $$x > 20$$
Answer
$$1$$
3
IIT-JEE 1986
Fill in the Blanks
The derivative of $${\sec ^{ - 1}}\left( {{1 \over {2{x^2} - 1}}} \right)$$ with respect to $$\sqrt {1 - {x^2}} $$ at $$x = {1 \over 2}$$ is ...............
Answer
$$4$$
4
IIT-JEE 1985
Fill in the Blanks
If $$f\left( x \right) = {\log _x}\left( {In\,x} \right),$$ then $$f'\left( x \right)$$ at $$x=e$$ is ................
Answer
$$1/e$$
Questions Asked from Differentiation
On those following papers in Fill in the Blanks
Number in Brackets after Paper Indicates No. of Questions