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Application of Derivatives question

2025 · 7 Apr · Shift 1 · Q43
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  5. /2025 · 7 Apr · Shift 1 · Q43

Application of Derivatives question

2025 · 7 Apr · Shift 1 · Q43

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Let x=−1x=-1x=−1 and x=2x=2x=2 be the critical points of the function f(x)=x3+ax2+blog⁡e∣x∣+1,xeq0f(x)=x^3+a x^2+b \log _{\mathrm{e}}|x|+1, x eq 0f(x)=x3+ax2+bloge​∣x∣+1,xeq0. Let mmm and M respectively be the absolute minimum and the absolute maximum values of fff in the interval [−2,−12]\left[-2,-\frac{1}{2}\right][−2,−21​]. Then ∣M+m∣|\mathrm{M}+m|∣M+m∣ is equal to (\left(\right.( Take log⁡e2=0.7):\left.\log _{\mathrm{e}} 2=0.7\right):loge​2=0.7):
  1. A
    21.1
  2. B
    19.8
  3. C
    22.1
  4. D
    20.9
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