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Q01 If 2 1 k 1 k, () 1 0 x,0 1 2 3 2 + − − = − ≤ < ≤ + − x x f x x x x x is continuous at x = 0, then k equals: English · EMRS PGT-2023 Q02 For x > 1, if (2x)2y = 4e2x–2y, then (1 + loge 2x)2 d y x is equal to: English · EMRS PGT-2023 Q03 If x loge (loge x) – x2 +y2 = 4 (y > 0), then dy dx at x = e is equal to: English · EMRS PGT-2023 Q04 If y = sec(tan-1 x), then dy dx at x = 1 is equal to: English · KVS PGT 2023 Q05 If () 3 x f = 3e x then () () () () – 2 1 –3 + 0 0 3 f' x x f x f f' is equal to: English · OAVS TGT 2019 Q06 If 1 3 x sin (3t 4t) and 1 2 y cos 1 t then dy dx is equal to – English · KVS TGT 2017