Description

This mock test of Test: Monotonicity (Competition Level) - 2 for JEE helps you for every JEE entrance exam.
This contains 16 Multiple Choice Questions for JEE Test: Monotonicity (Competition Level) - 2 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Monotonicity (Competition Level) - 2 quiz give you a good mix of easy questions and tough questions. JEE
students definitely take this Test: Monotonicity (Competition Level) - 2 exercise for a better result in the exam. You can find other Test: Monotonicity (Competition Level) - 2 extra questions,
long questions & short questions for JEE on EduRev as well by searching above.

QUESTION: 1

The values of p for which the function

f(x)=x^{5} – 3x + ln 5 decreases for all real x is

Solution:

QUESTION: 2

For which values of `a' will the function

f(x) = x^{4} + ax^{3} + + 1 will be concave upward along the entire real line

Solution:

QUESTION: 3

The function f(x) = x(x + 3) e^{–x/2} satisfies all the conditions of Rolle's theorem in [–3, 0]. The value of c which verifies Rolle's theorem, is

Solution:

QUESTION: 4

For what values of a does the curve

f(x) = x(a^{2} – 2a – 2) + cos x is always strictly monotonic x ∈ R.

Solution:

QUESTION: 5

If the function f(x) = x^{3} – 6ax^{2} + 5x satisfies the conditions of Lagrange's mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7/4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2. Then the value of a is

Solution:

QUESTION: 6

The function f(x) = tan^{-1} (sin x + cos x) is an increasing function in

Solution:

QUESTION: 7

A function y = f(x) has a second order derivative f" = 6(x – 1). If its graph passes through the point (2, 1) and at that point the tangent of the graph is y = 3x – 5, then the function is

Solution:

QUESTION: 8

If f(x) = [a sin x + b cosx] / [c sin x + d cos x] is monotonically increasing, then

Solution:

QUESTION: 9

The equation xe^{x} = 2 has

Solution:

QUESTION: 10

If f(x) = 1 + x *l*n and g(x) = then for x ³ 0

Solution:

QUESTION: 11

The set of values of the parameter `a' for which the function; f(x) = 8ax – a sin 6x – 7x – sin 5x increases & has no critical points for all x Î R, is

Solution:

QUESTION: 12

f : [0, 4] → R is a differentiable function then for some a, b Î (0, 4), f^{2}(4) – f^{2}(0) equals

Solution:

QUESTION: 13

If 0 < a < b < and f(a, b) = , then

Solution:

QUESTION: 14

Let f(x) = ax^{4} + bx^{3} + x^{2} + x – 1. If 9b^{2} < 24a, then number of real roots of f(x) = 0 are

Solution:

QUESTION: 15

If f(x) = (x – 1) (x – 2) (x – 3) (x – 4), then roots of f'(x) = 0 not lying in the interval

Solution:

QUESTION: 16

If f(x) = 1 + x^{m} (x – 1)^{n}, m, n ∈ N, then f'(x) = 0 has atleast one root in the interval

Solution:

### Monotonicity

Doc | 33 Pages

### Monotonicity -Notes & Problems

Doc | 27 Pages

### Inside level 2

Doc | 1 Page

### Inside level 2

Doc | 1 Page

- Test: Monotonicity (Competition Level) - 2
Test | 16 questions | 32 min

- Test: Monotonicity (Competition Level) - 1
Test | 22 questions | 44 min

- Test: Waves (Competition Level 2)
Test | 25 questions | 50 min

- Test: Gravitation (Competition Level 2)
Test | 24 questions | 48 min

- Test: Probability (Competition Level) - 2
Test | 30 questions | 60 min