AP EAMCET · Maths · Application of Derivatives
The interval in which the function for decreases is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given: fx=2x2-logx f'x=4x-1x Function is decreasing when f'x<0 4x-1x<0 ⇒4x2-1<0 ⇒x2<14 ⇒x∈-12,12. But, x>0 Therefore, fx is decreasing whenx∈0,12.
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
- Which of the following is divisible byAP EAMCET 2019 Medium
- If \(\int_0^{10} f(x) d x=5\), then \(\sum_{k=1}^{10} \int_0^1 f(k-1+x) d x=\)AP EAMCET 2017 Medium
- If \(x\) is so large that terms containing \(x^{-3}, x^{-4}, x^{-5}, \ldots\) can be neglected, then the approximate value of \(\left(\frac{3 x-5}{4 x^2+3}\right)^{-4 / 5}\) isAP EAMCET 2025 Medium
- The equation of the radical axis of the pair of circles \(7 x^2+7 y^2-7 x+14 y+18=0\) and \(4 x^2+4 y^2-7 x+8 y+20=0\) isAP EAMCET 2010 Easy
- The equation of the side of an equilateral triangle is \(x+y=2\) and one vertex is \((2,-1)\). The length of the side isAP EAMCET 2024 Easy
- If the equation, \(x^2+2 \sqrt{2} x y+2 y^2+4 x+4 \sqrt{2} y+1=0\) represents a pair of straight lines which are parallel to each other. Find the distance between them isAP EAMCET 2020 Medium
More PYQs from AP EAMCET
- A ball moving with velocity \(2 \mathrm{~m} / \mathrm{s}\) collides head on with another stationary ball of double the mass. If coefficient of restitution is 0.5 , then their velocities (in \(\mathrm{m} / \mathrm{s}\) ) after collision will be :AP EAMCET 2023 Medium
- If a diagonal of a square is along the line \(8 x-15 y=0\) and one of its vertices is \((1,2)\), then the equations of the sides of the square passing through this vertex areAP EAMCET 2020 Easy
- If a \(100 \mathrm{~m}\) long train needs \(7.2 \mathrm{~s}\) to cross an object moving in a direction opposite to the train's direction with a speed of \(5 \mathrm{~km} / \mathrm{h}\), then find the velocity of the train.AP EAMCET 2021 Medium
- \(\frac{\cos 10^{\circ}+\cos 80^{\circ}}{\sin 80^{\circ}-\sin 10^{\circ}}=\)AP EAMCET 2024 Easy
- When the origin is shifted to the point \((2,3)\) and then the coordinate axes are rotated through an angle \(\frac{\pi}{3}\) in the counter clockwise sense, then the transformed equation of \(3 x^2+2 x y+3 y^2-18 x-22 y+50=0\) isAP EAMCET 2018 Hard
- The tangents to the parabola \(y^2=4 a x\) from an external point \(P\) make angles \(\theta_1\) and \(\theta_2\) with the axis of the parabola. Such that \(\tan \theta_1+\tan \theta_2=b\), where \(b\) is constant. Then \(P\) lies onAP EAMCET 2017 Medium