TS EAMCET · Maths · Differentiation
If \(\left(x^2-3 x+2\right) e^{\frac{y}{x-1}}=x+2\) then \(\left(\frac{d y}{d x}\right)_{x=0}=\)
- A \(2\)
- B \(-2\)
- C \(1\)
- D \(-1\)
Answer & Solution
Correct Answer
(B) \(-2\)
Step-by-step Solution
Detailed explanation
\( (0^2-3(0)+2)e^{\frac{y}{0-1}}=0+2 \implies 2e^{-y}=2 \implies e^{-y}=1 \implies y=0 \) \(\frac{d}{dx}\left[\left(x^2-3 x+2\right) e^{\frac{y}{x-1}}\right]=\frac{d}{dx}(x+2)\)…
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
- The area (in square units) of the region bounded by the curves \(x=y^2\) and \(x=3-2 y^2\) isTS EAMCET 2011 Medium
- The probability function of a discrete random variable \(X\) is given by \(P(X=r)=K r^2\), where \(r=-2,-1,0,1,2,3\) and \(K\) is a constant. The sum of the variance of \(X\) and the square of the mean of \(X\) isTS EAMCET 2021 Medium
- The number of common roots among the \(12^{\text {th }}\) and \(30^{\text {th }}\) roots of unity isTS EAMCET 2024 Medium
- The radius of the circle given by \(\begin{aligned} x^2+y^2 & +z^2+2 x-2 y-4 z-19=0 \ & =x+2 y+2 z+7, \text { is } \end{aligned}\)TS EAMCET 2011 Medium
- If thenTS EAMCET 2022 Easy
- \(P\) is the point of intersection of the diagonals of the parallelogram \(A B C D\). If \(S\) is any point in space and \(\mathbf{S A}+\mathbf{S B}+\mathbf{S C}+\mathbf{S D}=\lambda \mathbf{S P}\), then \(\lambda\) equalsTS EAMCET 2015 Easy
More PYQs from TS EAMCET
- \(1+\frac{2}{4}+\frac{2 \cdot 5}{4 \cdot 8}+\frac{2 \cdot 5 \cdot 8}{4 \cdot 8 \cdot 12}+\frac{2 \cdot 5 \cdot 8 \cdot 11}{4 \cdot 8 \cdot 12 \cdot 16}+\ldots \ldots\) is equal to :TS EAMCET 2006 Hard
- A long straight solenoid with a cross-sectional radius and number of turns per unit length has a current varying with time as The magnitude of the electric field as a function of distance from the solenoid axis is,TS EAMCET 2021 Easy
- In any triangle, \(A B C=\cos ^2 \frac{A}{2}+\cos ^2 \frac{B}{2}+\cos ^2 \frac{C}{2}=\)TS EAMCET 2020 Easy
- If \(C\) and \(D\) are two \(n \times n\) non-singular matrices over the set of real number \(\mathbf{R}\) such that \(C D=-D C\), then \(n\) isTS EAMCET 2020 Easy
- The foot of the perpendicular drawn from the point \((1,1,1)\) to the plane \(\pi_1\) is \((1,3,5)\). If \((2,2,-1),(3,4,2),(3,3,0)\) are three points on the plane \(\pi_2\), then the angle between the planes \(\pi_1\) and \(\pi_2\) isTS EAMCET 2020 Hard
- Two masses \(m_1\) and \(m_2\) are placed on a smooth horizontal surface and are connected by a string of negligible mass. A horizontal force \(F\) is applied on the mass \(m_2\) as shown in the figure. The tension in the string isTS EAMCET 2016 Easy