COMEDK 2026 Morning Shift | Application of Derivatives Question 8 | Mathematics

If the function $f(x)=x^4-31 x^2+\boldsymbol{a} x+5$ has a turning point at $x=1$, then the value of ' $\boldsymbol{a}$ ' is $\_\_\_\_$ and the function attains a $\_\_\_\_$ at $x=1$

$a=50$, local minima

$a=58$, local maxima

$a=58$, local minima

$a=-50$, local maxima

COMEDK 2026 Morning Shift

MCQ (Single Correct Answer)

-0

The behaviour of the function $f(x)=\sin \left(2 x+\frac{\pi}{4}\right)$ on $\left(\frac{3 \pi}{8}, \frac{5 \pi}{8}\right)$ is:

Strictly increasing on $\left(\frac{3 \pi}{8}, \frac{5 \pi}{8}\right)$

Strictly increasing on $\left(\frac{\pi}{8}, \frac{3 \pi}{8}\right)$

Strictly decreasing on $\left(\frac{3 \pi}{8}, \frac{5 \pi}{8}\right)$

${\text { Strictly decreasing on }}\left(\frac{\pi}{8}, \frac{5 \pi}{8}\right)$

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

-0

Let $f(x)=x \sqrt{4 a x-x^2}, a>0$ then $f^{\prime}(x)$ at $x=2 a$ is :

Does not exist

Zero

Decreasing

Increasing

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

-0

If the function $f(x)=\mu \sin x+\frac{1}{3} \sin 3 x$ has its derivative equal to zero at $x=\frac{\pi}{3}$, then the value of ' $\mu$ ' is

$-$1

PREVIOUS NEXT

COMEDK Subjects

Browse all chapters by subject

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics Nuclear Chemistry

Inorganic Chemistry

Metallurgy Periodic Table and Periodicity Hydrogen and It's Compounds p-Block Elements Environmental Chemistry Coordination Compounds d and f Block Elements s-Block Elements Chemical Bonding and Molecular Structure

Organic Chemistry

IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry