Multiple Choice Questions on Given f x 2x3 9x2 12x 1 find the intervals in which function is increasing and decrea........... for NDA Exam Preparation

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Multiple Choice Questions

Given f x 2x3 9x2 12x 1 find the intervals in which function is increasing and decrea...........

Mathematics (NDA) Diffrentiation
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Given ,f(x)= - 2x3  -9x2  -12x +1  ,find the intervals in which function is increasing and decreasing?

[-∞,-2] decreasing and  (-2  ,-1) increasing

Correct Answer

(-2  ,-1) decreasing

Incorrect Answer

(-2  ,-1) strictly decresing

Incorrect Answer

None of these

Incorrect Answer
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Explanation:

D f(x)/dx  = -6x2    -18x  -12

At dfx/dx  =0

X2 +3x +2 =0

(x+2)(x+1)=0

X=-2  ,x=-1

X ? (-2  ,-1)

[-∞,-2] 

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