# 2nd PUC Mathematics Series 8

PUC Science 2nd Year Mathematics Series-8 quiz

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2nd PUC Mathematics Series 8

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71. If y = ax2 + b, then dy/dx at x = 2 is equal to

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72. If Rolle’s theorem holds for the function f(x) = x3 + bx2 + ax + 5 on [1, 3] with c = (2 + 1/3), find the value of a and b.

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73. f y = (tan x)sin x, then dy/dx is equal to

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74. The derivative of y = (1 – x)(2 – x) ….. (n – x) at x = 1 is equal to

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75. If xy . yx = 16, then the value of dy/dx at (2, 2) is

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76. Find all the points of local maxima and local minima of the function f(x) = (x – 1)(x + 1)2

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77. Find the local minimum value of the function f(x) = sin4x + cos4x, 0 < x < π2

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78. If y=axb/(x1)(x4) has a turning point P(2, -1), then find the value of a and b respectively.

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79. Find the maximum profit that a company can make, if the profit function is given by P(x) = 41 + 24x – 18x2.

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80. If y = x3 + x2 + x + 1, then y