WBJEE · Maths · Application of Derivatives
The function \(f(x)=2 x^3-3 x^2-12 x+4, x \in \mathbb{R}\) has
- A two points of local maximum
- B two points of local minimum
- C one local maximum and one local minimum
- D neither maximum nor minimum
Answer & Solution
Correct Answer
(C) one local maximum and one local minimum
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & f^{\prime}(x)=0 \quad \Rightarrow x=-1,2 \\ & x=-1 \text { is local maxima } \\ & x=2 \text { is local minima }\end{aligned}\)
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