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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability2 Marks
Question
Differentiate $e^{x^{3}}$ w.r.t. x.
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Answer

Let y = $e^{x^{3}}$ 
So, by using the chain rule, we get
$\frac{d y}{d x}=\frac{d}{d x}\left(e^{x^{3}}\right)$
= $e^{x^{3}} \cdot \frac{d}{d x}\left(x^{3}\right)$ 
= $e^{x^{3}} \cdot 3 x^{2}$ 
= $3 x^{2} e^{x^{3}}$ 

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