CUET MathematicsCalculus > Mediumcommon0004t4 t4t4e2tt\frac{4 e^{2 t}}{t}t4e2te2t(4t−1)t2\frac{e^{2 t}(4 t-1)}{t^{2}}t2e2t(4t−1)✅ Correct Option: 1Related questions:13 May Shift 1If y=2024x+2025y = \sqrt{2024x + 2025}y=2024x+2025, then which of the following is correct?16 May Shift 1Match List-I with List-II List-IList-II(Parametric equations)(dydx)\left(\frac{dy}{dx}\right)(dxdy)(A) x=2t,y=2tx = \frac{2}{t}, y = 2tx=t2,y=2t(I) 4t24t^24t2(B) x=t3,y=3t+2x = t^3, y = 3t + 2x=t3,y=3t+2(II) 2(t+1)2(t+1)2(t+1)(C) x=logt,y=2t2x = \log t, y = 2t^2x=logt,y=2t2(III) −t2-t^2−t2(D) x=et,y=2tetx = e^t, y = 2te^tx=et,y=2tet(IV) t−2t^{-2}t−2 Choose the correct answer from the options given below:15 May Shift 2If ey(x+1)=1e^y(x + 1) = 1ey(x+1)=1, then