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For The Function F X 0 For X 0 X 2 Logx For X 0

1) f’ (0) exists and = 0 2) f’ (0) does not exist 3) Lf’ (0) = – 1 4)... View Article

1) c / fɸ 2) 2c / fɸ 3) 3c / fɸ 4) None of these Solution: (2) 2c /... View Article

1) –1 2) 0 3) 1 4) 2 Solution: (4) 2 f (x) = (x2 – 1) |x2 – 3x... View Article

1) h is discontinuous for all x 2) h is differentiable for all x 3) h’(x) = 2, for all... View Article

1) 2 / e 2) 1 / e 3) 3 / e 4) None of these Solution: (2) 1 /... View Article

1) 0 only 2) –1,1 only 3) 1 only 4) –1 only Solution: (2) –1,1 only f (x) = 2... View Article

1) 1 2) 2 3) 3 4) 4 Solution: (1) 1 xexy = y + sin2 x 0 * e0... View Article

1) 16 2) 32 3) 64 4) None of these Solution: (2) 32 d [f2 (x) + g2 (x)] =... View Article

1) tanx 2) (3 / 2) x cos (x3) cosec (x2) 3) (2 / 3) sin x3 sin x2 4)... View Article

1) y’ (1) = 2 / 3 2) y’ (1) = 4 / 3 3) y’’ (1) = – 8... View Article

1) (-∞,∞) 2) (-∞,∞) – {2} 3) (-∞,∞) – {3} 4) (-∞,∞) – {2,3} Solution: (4) (-∞, ∞) – {2,... View Article

1) 1 2) e-2x 3) – 2e-2x 4) y = e2x Solution: (3) – 2e-2x y = e2x dy /... View Article

1) y’’ = z 2) y’’ = 2z 3) y’’ + z’’ = 2 (z – y) 4) z’’ =... View Article

1) (a / e)e-π/2 2) aeπ/2 3) [- 2e-π/2 / a] 4) (a / e)eπ/2 Solution: (3) [- 2e-π/2 /... View Article

1) 8 2) 16 3) 32 4) 64 Solution: (1) 8 h (x) = [f (x)2 + g (x)2] h’... View Article

1) (−∞, ∞) 2) (1, ∞) 3) Z – {0} 4) R − {0} Solution: (4) R − {0} f... View Article

1) ex 2) ex + e^x 3) logx 4) x Solution: (2) ex + e^x ef(x) = logx f-1 (x)... View Article

1) 1 2) 2 3) 3 4) None of these Solution: (3) 3 f (x2) = x3 d [f (x2)]... View Article

1) – 4 2) 30 3) – 2 4) 8 Solution: (3) – 2 f (x) = x3 + x2... View Article

1) x2 2) 3x2 3) 2x2 4) None of these Solution: (4) None of these limx→0 (1 + x +... View Article