InterviewSolution
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InterviewSolution
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Prove that the function given by `f(x)=x^3-3x^2+3x-100`is increasing in R.A. increasingB. decreasingC. increasing and decreasingD. neither increasing nor decreasing |
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Answer» We have, `f(x) = x^(3) - 3x^(2) +3x - 100 , x in R` ` f(x) = 3x^(2) - 6x + 3 = 3 (x^(2) - 2x +1)` ` = 3(x - 1)^(2)` As `(x - 1)^(2)` is always positive ` x ne 1` So, f(x) is increasing for all ` x ne R` Hence, the correct answer form the given alternatives is (a). |
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