Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

On differentiating $e^{x^2}$ with respect to x, we get

Options:

$x^2 e^{x^2}$

$2 x e^{x^2}$

$e^{x^2}$

$2 e^{x^2}$

Correct Answer:

$2 x e^{x^2}$

Explanation:

The correct answer is Option (2) → $2 x e^{x^2}$

$y=e^{x^2}$

so $\frac{dy}{dx}=\frac{d}{dx}(e^{x^2})=e^{x^2}\frac{d(x^2)}{dx}$

$⇒2xe^{x^2}$