Applications of Derivatives Test

Result

Applications of Derivatives Test - 6

Score
-
out of -
Rank
-
out of -

TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

The local minimum value of the function f ' given by f (x) = 3 + |x|, x ϵ R is

A
-1

B
3

C
1

D
0

Solution
Question 2
4 / -1

The angle of intersection between the curves y = [|sin x| + |cos x| ] and x² + y² = 10, where [x] denotes the greatest integer ≤ x , is

A
tan^-1 3

B
tan^-1 (-3)

C
tan^-1 (√3)

D
tan^-1 (1/√3)

Solution
Question 3
4 / -1

If y = 4x + 3 is parallel to the tangent of the parabola y² = 12x, then is distance from the normal parallel to the given line is

A

B

C

D

Solution
Question 4
4 / -1

A
neither maximum nor minimum

B
only one maximum

C
only one minimum

D
None of the above

Solution
Question 5
4 / -1

A
Statement I is incorrect, Statement II is correct

B
statement I is correct, statement II is correct ; Statement II is correct explanation for statement I

C
Statement I is correct, statement II is correct, statement II is correct, Statement II is correct explanation for Statement I

D
Statement I is incorrect, statement II is incorrect

Solution
Question 6
4 / -1

The maximum value of the function

A
1

B
9/8

C
13/12

D
17/8

Solution
Question 7
4 / -1

The least value of the function f(x) = ax + b/x, a > 0, b > 0, x > 0 is

A

B

C

D

Solution
Question 8
4 / -1

If f(x) = x³ e^-3x, x > 0. then, the maximum value of f(x) is

A
e^-3

B
3e^-3

C
27e^-9

D
∞

Solution
Question 9
4 / -1

The length of the normal to the curve y = a cosh (x/a) at any point varies as

A
ordinate

B
abscissa

C
Square of the abscissa

D
square of the ordinate

Solution
Question 10
4 / -1

If the normal to the curve y = f(x) at the point (3, 4) make an angle 3π/4 with the positive X - axis, then f '(3) is

A
1

B
-1

C
- (3/4)

D
3/4

Solution