WB JEE 2011 | Differentiation Question 8 | Mathematics

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If $$y = {\tan ^{ - 1}}{{\sqrt {1 + {x^2}} - 1} \over x}$$, then y'(1) =

1/4

1/2

$$-$$1/4

$$-$$1/2

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

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

2.002

1.9

0.9

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The approximate value of $$\root 5 \of {33} $$ correct to 4 decimal places is

2.0000

2.1001

2.0125

2.0500

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

Let $$f(x) = {x^3}{e^{ - 3x}},\,x > 0$$. Then the maximum value of f(x) is

e^$$-$$3

3e^$$-$$3

27e^$$-$$9

$$\infty$$

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