WBJEE · Maths · Application of Derivatives
The minimum value of \(f(x)=e^{\left(x^4-x^3+x^2\right)}\) is
- A e
- B \(-\mathrm{e}\)
- C 1
- D -1
Answer & Solution
Correct Answer
(C) 1
Step-by-step Solution
Detailed explanation
Hints: \(f(x)=e^{\left(x^4-x^3+x^2\right)}, f^{\prime}(x)=e^{x^4-x^3+x^2}\) \(e^{x^4-x^3+x^2}\left(4 x^3-3 x^2+2 x\right) x\left(4 x^2-3 x+2\right)\) \(\Rightarrow f(x)\) is decreasing for \(x 0\) \(\therefore\) Minimum is at…
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