Application of derivatives

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Test1 Max. Marks = 40

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4 points

(a)

(b)

(c)

(d)

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The function f(x) = 2 log (x-2)-x²+4x+1 increases in the interval

4 points

(a) (1,2)

(b) (2,3)

(d) (2,4)

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4 points

(a) 1

(b) -1

(d) 2

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4 points

(a) 1

(b) 2

(d) 1/3

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4 points

(a) 2²⁷

(b) 2

(d) None of these

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6) A differentiable function f(x) has a relative minimum at x=0 then the function y=f(x) +ax +b as a relative minimum at x=0 for

4 points

(a) All a and all b

(b) All b and a=0

(d) All a>0

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7) The approximate value of cube root of 127 is

4 points

(a) 377/75

(b)376/75

(d)374/75

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4 points

(a) 1100

(b) 1250

(d) 5250

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4 points

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4 points

a) -2

b) -1

c) 0

d) 1/2

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