MHT CET · Maths · Application of Derivatives
\(\mathrm{f}(x)=\frac{x}{2}+\frac{2}{x}, x \neq 0\) is stricity decreasing in
- A \((2,3)\)
- B \((1,3)\)
- C \((-2,2)\)
- D \((1,4)\)
Answer & Solution
Correct Answer
(C) \((-2,2)\)
Step-by-step Solution
Detailed explanation
\(f'(x) = \frac{1}{2} - \frac{2}{x^2}\) \(\frac{1}{2} - \frac{2}{x^2} < 0\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Bacteria increases at the rate proportional to the number of bacteria present. If the original number N doubles in 4 hours, then the number of bacteria will be \(4 \mathrm{~N}\) inMHT CET 2020 Easy
- \(\int_{5}^{10} \frac{1}{(x-1)(x-2)} d x\) is equal toMHT CET 2009 Easy
- If \(\int \frac{5 \tan x}{\tan x-2} d x=x+a \log |\sin x-2 \cos x|+c\), then \(a\) (Where \(\mathrm{c}\) is constant of integration)MHT CET 2021 Hard
- The distance of the point \((1,3,-7)\) from the plane passing through the point \((1,-1,-1)\) having normal perpendicular to both the lines \(\frac{x-1}{1}=\frac{y+2}{-2}=\frac{z-4}{3}\) and \(\frac{x-2}{2}=\frac{y+1}{-1}=\frac{z+7}{-1}\) isMHT CET 2024 Medium
- The points \(A(-a,-b)\), B \((0,0), C(a, b)\) and \(D\left(a^{2}, a b\right)\) areMHT CET 2020 Easy
- The shortest distance between the lines \(1+x=2 y=-12 z\) and
\(x=y+2=6 z-6\) isMHT CET 2020 Easy
More PYQs from MHT CET
- Match hormones given in Column I with their source gland in Column II.
Choose the correct option from belowColumn I Column II i Oxytocin a. Adrenal medulla ii Melatonin b. Thyroid gland iii Catecholamines c. Pineal gland Iv Calcitonin d. Hypothalamus MHT CET 2024 Hard - Given below are two statements with respect to gastrulation.
Statement-I: Root of amniotic cavity is lined by amniogenic cells, which divides to form chorion.
Statement-II: Chorion is an embryonic membrane that participates in development of the embryo.
Choose the most appropriate answer from the options given below.MHT CET 2022 Hard - Four identical condensers are connected in parallel and then in series. The ratio of equivalent capacitance in series to that in parallel combination isMHT CET 2022 Easy
- Which one of the following is NOT a bacterial biofertilizer?MHT CET 2025 Medium
- Identify a monomer used in preparation of neoprene.MHT CET 2025 Easy
- The set of points where the function \(f(x)=|x-1| e^{x}\) is differentiable, isMHT CET 2007 Medium