AP EAMCET · Maths · Application of Derivatives
The values of \(x\) at the stationary points of \(f(x)=x^3+3 x^2-2\) are
- A 0,2
- B 1,2
- C \(0,-2\)
- D 1,1
Answer & Solution
Correct Answer
(C) \(0,-2\)
Step-by-step Solution
Detailed explanation
Let \(y=f(x)=x^3+3 x^2-2\) \(\frac{d y}{d x}=3 x^2+6 x \Rightarrow \frac{d^2 y}{d x^2}=6 x+6\) For stationary points \(\frac{d y}{d x}=0\) \(\Rightarrow \quad 3 x(x+2)=0 \Rightarrow x=0,-2\)
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