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प्रश्न
Choose the correct alternative:
The function f(x) = x3 – 3x2 + 3x – 100, x ∈ R is
पर्याय
increasing for all x ∈ R, x ≠ 1
decreasing
neither increasing nor decreasing
decreasing for all x ∈ R, x ≠ 1
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उत्तर
increasing for all x ∈ R, x ≠ 1
संबंधित प्रश्न
Price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing
The function f (x) = x3 – 3x2 + 3x – 100, x∈ R is _______.
(A) increasing
(B) decreasing
(C) increasing and decreasing
(D) neither increasing nor decreasing
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Read the following passage:
|
The use of electric vehicles will curb air pollution in the long run. V(t) = `1/5 t^3 - 5/2 t^2 + 25t - 2` where t represents the time and t = 1, 2, 3, ...... corresponds to years 2001, 2002, 2003, ...... respectively. |
Based on the above information, answer the following questions:
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- Prove that the function V(t) is an increasing function. (2)
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In which one of the following intervals is the function f(x) = x3 – 12x increasing?
The function f(x) = xex(1 − x), x ∈ R, is ______.
Let \[x_0\] be in the domain of a real-valued function \[f\]. When is \[f\] decreasing at \[x_0\]?
For \[f(x)=x^3-3x^2+4x\], what is \[f'(x)\]?
