CUET · MATHS · PYQ PAPER 2023
On differentiating \(e^{x^2}\) with respect to x, we get
- A \(x^2 e^{x^2}\)
- B \(2 x e^{x^2}\)
- C \(e^{x^2}\)
- D \(2 e^{x^2}\)
Answer & Solution
Correct Answer
(B) \(2 x e^{x^2}\)
Step-by-step Solution
Detailed explanation
\(\frac{d}{dx}(e^{x^2}) = e^{x^2} \cdot \frac{d}{dx}(x^2)\) \(= e^{x^2} \cdot 2x\) \(= 2xe^{x^2}\)
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