AP EAMCET · Maths · Differentiation
If and . When
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Taking log on both sides we get logy=log1+1x+log1+2x.............log1+nx Differentiating, 1ydydx=11+1x-1x2+11+2x-2x2...........11+1n-nx2 dydx=-1+2x1+3x.....1+nx+21+1x1+2x....1+nxx2 Now put x=-1 dydx=-1(-1-2-3......1-n)1 dydx=-1n12.....n-1=-1nn-1!
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
- If the general solution set of \(\sin x+3 \sin 3 x+\sin 5 x=0\) is S , then \(\{\sin \alpha / \alpha \in S\}=\)AP EAMCET 2024 Medium
- A ray makes angles \(\frac{\pi}{3}\) and \(\frac{\pi}{4}\) with \(Y\) and \(Z\)-axes respectively. Then, the value of the sine of the angle made by the ray with \(X\)-axis isAP EAMCET 2022 Easy
- Let \(P(x)=x^4+a x^3+b x^2+c x+d\) be such that \(x=0\) is the only real root of \(\mathrm{P}^1(\mathrm{x})=0\). If \(\mathrm{P}(-1) < \mathrm{P}(1)\), then in the interval \([-1,1]\)AP EAMCET 2025 Hard
- \(y=A e^x+B e^{2 x}+C e^{3 x}\) satisfies the differential equationAP EAMCET 2004 Medium
- In a \(\triangle A B C, 2 a c \sin \frac{1}{2}(A-B+C)\) is equal toAP EAMCET 2021 Easy
- If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8 , then the eccentricity isAP EAMCET 2009 Easy
More PYQs from AP EAMCET
- The integrating factor of the linear directional equation \(\frac{d y}{d x}+P(x) y=Q(x)\) is a solution of the differential equationAP EAMCET 2022 Medium
- Two cars of masses \(\mathrm{m}_1\) and \(\mathrm{m}_2\), joined back to back by a massless compressed spring are at rest on a horizontal rough road. When the compression of the spring is suddenly removed, the cars move away from each other and come to rest due to friction. If the frictional force is same on them, their stopping times are in the ratioAP EAMCET 2017 Easy
- If \(A\) is a Skew-symmetric matrix then (given \(n \in \mathbf{N}\))
1. \(A^{2 n}\) is Skew-symmetric matrix.
2. \(A^{2 n+1}\) is Skew-symmetric matrix.AP EAMCET 2020 Medium - In which of the following, reagent and product are correctly matched with respect to benzene diazonium chloride as reactant?AP EAMCET 2023 Medium
- If \(\theta\) lies in third quadrant and \(\cos \theta=\frac{-3}{5}\) find the value of \(\tan \theta\).AP EAMCET 2020 Easy
- A prism of refractive index \(\mu\) and angle \(A\) is placed in the minimum deviation position. If the angle of minimum deviation is \(A\), then the value of \(A\) in terms of \(\mu\) is :AP EAMCET 2003 Hard