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Solved Examples
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cc  Find the two positive numbers whose sum is 108 and the product is maximum?
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cc  If x, y are two positive number such that xy = 36 and x + y is minimum, then x2y + xy2 = ?   cc View Solution
cc  Find the critical point of the function y = x2 + 6x + 4.  cc View Solution
cc  What are the critical points of y = x + 49x
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cc  Find the critical points of y = Sin 2x in [- π4, π4].  cc View Solution
cc  Find the critical point of y = sec 7x in (- π14, π14).  cc View Solution
cc  The critical points of the function y = x33-15x22+56x are:
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cc  In [- π6, π6], y = cos 3x:  cc View Solution
cc  Over the set of real numbers R, the function f(x) = e2x + e- 2x + 47:  cc View Solution
cc  Over the set of real numbers R, the function f(x) = 2x3 + 17:  cc View Solution
cc  Over the set of real numbers R, the function f(x) = x ex + 20:   cc View Solution
cc  The function f(x) = 7sin2x - 7x in [0, π ]:
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cc  Over the set of real numbers R, the function f(x) = ln xx + 27:
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cc  Over(- ∞ , 0), f (x) = 6x2ex + 19:
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cc  Over the set of real numbers R, the function f(x) = 7x e-x7:
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cc  Over the set of real numbers R, the function f(x) = 8x ln x + 18:
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cc  Over the set of real numbers R the function y = x8x8 + 38:
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cc  Over (0, ∞), f(x) = x33+256x:  cc View Solution
cc  Over (0, ∞), f(x) = - 10x5 + 1600x2 + 13
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cc  At x = 0, f (x) = 2117(x)1721 + 26
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cc  Over (- 9, 9), f (x) = sin18x18 + 40
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cc  In (- 9, 9), f(x) = - Cos x - x Sin x + 12:   cc View Solution
cc  In (- ∞, 0), f(x) = x8 e16x:  cc View Solution
cc  In (- 1, 0), f(x) = 2tanx + tan2x + 21
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cc  Critical numbers of the curve y = x6 - 75x4 + 1875x2 - 28 are :
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cc  Find the critical point of the function y = x2 + 16x + 9.  cc View Solution
cc  Find the two positive numbers whose sum is 24 and the product is maximum?
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cc  If x, y are two positive number such that xy = 81 and x + y is minimum, then x2y + xy2 = ?   cc View Solution
cc  The critical points of the function y = x33-19x22+90x are:
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cc  What are the critical points of y = x + 81x
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cc  Find the critical points of y = Sin 7x in [- π14, π14].  cc View Solution
cc  Find the critical point of y = sec 5x in (- π10, π10).  cc View Solution
cc  In [- π8, π8], y = cos 4x:  cc View Solution
cc  Over the set of real numbers R, the function f(x) = e6x + e- 6x + 17:  cc View Solution
cc  Over the set of real numbers R, the function f(x) = 3x3 + 30:  cc View Solution
cc  Over the set of real numbers R, the function f(x) = x ex + 10:   cc View Solution
cc  The function f(x) = 8sin2x - 8x in [0, π ]:
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cc  Over the set of real numbers R, the function f(x) = ln xx + 28:
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cc  Over(- ∞ , 0), f (x) = 5x2ex + 36:
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cc  Over the set of real numbers R, the function f(x) = 3x e-x3:
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cc  Over the set of real numbers R, the function f(x) = 3x ln x + 39:
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B   Over the set of real numbers R the function y = x8x8 + 49:
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B   Over (0, ∞), f(x) = x33+625x:   B View Solution
B   Over (0, ∞), f(x) = - 10x5 + 200x2 + 48
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B   At x = 0, f (x) = 1913(x)1319 + 11
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B   Over (- 3, 3), f (x) = sin6x6 + 12
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B   In (- 9, 9), f(x) = - Cos x - x Sin x + 22:    B View Solution
B   In (- ∞, 0), f(x) = x10 e20x:   B View Solution
B   In (- 1, 0), f(x) = 2tanx + tan2x + 38
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B   Critical numbers of the curve y = x6 - 27x4 + 243x2 - 14 are :
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