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If The Function Fx Defined By Fx X100 100 X99 99 X2 2 X 1 Then F0 Is Equal To

1) 100 f’(0) 2) 100 3) 1 4) -1 Solution: f(x) = x100/100 + x99/99 + …+x2/2 + x +... View Article

1) 1 2) –1 3) 2 4) None of these Solution: ex + ey = ex + y Differentiating both... View Article

1) 1/e 2) e 3) –e 4) e2 Solution: f(x) = logx {ln(x)} = logx log(x) = log (log x)/log... View Article

1) 0 2) (–1)(n – 1)! 3) n! – 1 4) (–1)n–1 (n – 1)! Solution: y = (1 –... View Article

(1) √2 + (1/√x)(1 – 1/2x) (2) √2 – (1/√x)(1+ 1/2x) (3) √2 – (1/√x)(1 – 1/2x) (4) √2 +... View Article

1) 5 2) 25 3) 15 4) 10 Solution: Given f ‘(3) = 5 y = f(x2 + 2) dy/dx... View Article

(1) 20 (2) 28 (3) 1 (4) 0 Solution: y = (1 + x) (1 + x2) (1 + x4)... View Article

1) y = 0 2) y = 1 3) y = 2 4) y = 3 Solution: (4) y =... View Article

1) (27, 3) 2) (3, 27) 3) (1, 2) 4) (–1, 3) Solution: (2) (3, 27) y = x3 dy... View Article

1) 16 2) 12 3) 8 4) 4 5) 2 Solution: (4) 4 (x2 / a2) + (y2 / 12)... View Article

1) 0 2) ∞ 3) -∞ 4) – 1 / 2 Solution: (1) 0

1) 2asin (t / 2) 2) 2asin3 (t / 2) sec (t / 2) 3) a sint 4) 2asin (t... View Article

1) (1 / 4, 1 / 2) 2) (1 / 2, 1 / 4) 3) (1 / 2, – 1... View Article

1) y = 3x3 + 2x2 + 5x + 1 2) y = 2x3 + 3x2 + 5x + 1... View Article

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

1) y = x ± 1 2) y = x – (1 / 2) 3) y = x + (1... View Article

1) x + y = 1 2) x + y + 1 = 0 3) 2x – y + 1... View Article

1) Ellipse 2) Parabola 3) Circle 4) Hyperbola Solution: (4) Hyperbola Equation of normal is Y – y = –... View Article

1) 4 2) 32 3) 8 4) 16 Solution: (4) 16 y = x2 – x + 4 Slope of... View Article

1) a > 0, b < 0 2) a > 0, b > 0 3) a < 0, b <... View Article