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Application of Derivatives question

2020 · 7 Jan · Shift 2 · Q30
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  5. /2020 · 7 Jan · Shift 2 · Q30

Application of Derivatives question

2020 · 7 Jan · Shift 2 · Q30

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If lim⁡x→0(2+f(x)x3)=4\mathop {\lim }\limits_{x \to 0} \left( {2 + {{f\left( x \right)} \over {{x^3}}}} \right) = 4x→0lim​(2+x3f(x)​)=4, then which one of the following is not true?
  1. A
    ƒ(1) - 4ƒ(-1) = 4.
  2. B
    x = 1 is a point of minima and x = -1 is a point of maxima of ƒ.
  3. C
    x = 1 is a point of maxima and x = -1 is a point of minimum of ƒ.
  4. D
    ƒ is an odd function.
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