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## Differentiation

### Mathematics

#### Previous Years Questions

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If $$y = {e^{{{\tan }^{ - 1}}x}}$$, then
WB JEE 2022
A bulb is placed at the centre of a circular track of radius 10 m. A vertical wall is erected touching the track at a po...
WB JEE 2021
Let $$g(x) = \int\limits_x^{2x} {{{f(t)} \over t}dt}$$ where x > 0 and f be continuous function and f(2x) = f(x), then
WB JEE 2021
If the function $$f(x) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1$$ [a &gt; 0] attains its maximum and minimum at p and q respect...
WB JEE 2020
Let $$f(x) = {x^3}{e^{ - 3x}},\,x > 0$$. Then the maximum value of f(x) is
WB JEE 2011
The approximate value of $$\root 5 \of {33}$$ correct to 4 decimal places is
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If $$y = 2{x^3} - 2{x^2} + 3x - 5$$, then for x = 2 and $$\Delta$$x = 0.1 the value of $$\Delta$$y is
WB JEE 2011
If $$y = {\tan ^{ - 1}}{{\sqrt {1 + {x^2}} - 1} \over x}$$, then y'(1) =
WB JEE 2011
Let $$f(x) = ta{n^{ - 1}}x$$. Then $$f'(x) + f''(x)=0$$, when x is equal to
WB JEE 2011
If $$y = {A \over x} + B{x^2}$$, then $${x^2}{{{d^2}y} \over {d{x^2}}}$$ =
WB JEE 2011
If x2 + y2 = 4, then $$y{{dy} \over {dx}} + x =$$
WB JEE 2011
If $$y = {\tan ^{ - 1}}\sqrt {{{1 - \sin x} \over {1 + \sin x}}}$$, then the value of $${{dy} \over {dx}}$$ at $$x = {\... WB JEE 2009 The second order derivative of a sin3t with respect to a cos3t at$$t = {\pi \over 4}$$is WB JEE 2009 The value of$${{dy} \over {dx}}$$at$$x = {\pi \over 2}$$, where y is given by$$y = {x^{\sin x}} + \sqrt x $$is... WB JEE 2008 If$$x = {e^t}\sin t$$,$$y = {e^t}\cos t$$then$${{{d^2}y} \over {d{x^2}}}$$at x =$$\pi$$is WB JEE 2008 ## MCQ (More than One Correct Answer) More Let$$y = {{{x^2}} \over {{{(x + 1)}^2}(x + 2)}}$$. Then$${{{d^2}y} \over {d{x^2}}} is
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