Test Description

JEE Advanced Level Test: Monotonicity- 2 for JEE 2024 is part of JEE preparation. The JEE Advanced Level Test: Monotonicity- 2 questions and answers have been prepared
according to the JEE exam syllabus.The JEE Advanced Level Test: Monotonicity- 2 MCQs are made for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Advanced Level Test: Monotonicity- 2 below.

Solutions of JEE Advanced Level Test: Monotonicity- 2 questions in English are available as part of our course for JEE & JEE Advanced Level Test: Monotonicity- 2 solutions in
Hindi for JEE course.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Advanced Level Test: Monotonicity- 2 | 16 questions in 32 minutes | Mock test for JEE preparation | Free important questions MCQ to study for JEE Exam | Download free PDF with solutions

JEE Advanced Level Test: Monotonicity- 2 - Question 1

The values of p for which the function

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

JEE Advanced Level Test: Monotonicity- 2 - 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

1 Crore+ students have signed up on EduRev. Have you? Download the App |

JEE Advanced Level Test: Monotonicity- 2 - 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

JEE Advanced Level Test: Monotonicity- 2 - 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.

JEE Advanced Level Test: Monotonicity- 2 - 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

JEE Advanced Level Test: Monotonicity- 2 - Question 6

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

JEE Advanced Level Test: Monotonicity- 2 - 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

JEE Advanced Level Test: Monotonicity- 2 - Question 8

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

JEE Advanced Level Test: Monotonicity- 2 - Question 10

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

JEE Advanced Level Test: Monotonicity- 2 - 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

JEE Advanced Level Test: Monotonicity- 2 - 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

JEE Advanced Level Test: Monotonicity- 2 - 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

JEE Advanced Level Test: Monotonicity- 2 - Question 15

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

JEE Advanced Level Test: Monotonicity- 2 - 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

Information about JEE Advanced Level Test: Monotonicity- 2 Page

In this test you can find the Exam questions for JEE Advanced Level Test: Monotonicity- 2 solved & explained in the simplest way possible.
Besides giving Questions and answers for JEE Advanced Level Test: Monotonicity- 2, EduRev gives you an ample number of Online tests for practice

Download as PDF