Applications of Derivatives Test

Result

Applications of Derivatives Test - 74

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Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A
1

B

C

D

Solution
Question 3
4 / -1

A

B

C

D
None of these

Solution
Question 4
4 / -1

A

B

C

D
None of these

Solution
Question 5
4 / -1

If a st. line is tangent to one point and normal to another point on the curve y = 8t³ − 1, x = 4t² + 3, then the equation of such line is :

A

B

C

D
None of these

Solution
Question 6
4 / -1

Let f(x) = 1 + 2²x²+ 3²x⁴ + 4²x⁶ …. + n²x^2n–2= + (n+1)²x²ⁿ, then f(x) has :

A
exactly one minimum

B
exactly one maximum

C
at least one maximum

D
None of these

Solution
Question 7
4 / -1

Kamal has x children by hist first wife. Ritu has (x + 1) children by her first busband. They marry and have children of their own. The whole family has 24 children. Assuming the two children of the same parents do not fight, then the maximum possible number of fights that can take place is :

A
190

B
191

C
200

D
52

Solution
Question 8
4 / -1

A given right circular cone has a volume p and the longest right circular cylinder that can be inscribed in the cone has a volume q. Then p : q is :

A
9 : 4

B
4 : 5

C
7 : 3

D
none of these

Solution
Question 9
4 / -1

Let h(x) = f(x) − (f(x))² + (f(x))³ for every real number x. Then :

A
h is increasing whenever f is increasing

B
h is increasing whenever f is decreasing

C
h is decreasing whenever f is increasing

D
nothing can be said in general

Solution
Question 10
4 / -1

The function f(x) = sin⁴ x + cos⁴x increases in

A

B

C

D

Solution