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CONTINUITY AND DIFFERENTIABILITY — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsCONTINUITY AND DIFFERENTIABILITY1 Mark
Question
Differentiate the following w.r.t.x: ${\text{e}^\text{x}}^{3}$
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Answer

$\text{Let}\ \text{y}={\text{e}^\text{x}}^{3}$
$\therefore\ \frac{\text{dy}}{\text{dx}}={\text{e}^\text{x}}^{3}.\frac{\text{d}}{\text{dx}}(\text{x}^{3})={\text{e}^\text{x}}^{3}.(3\text{x}^{2})=3\text{x}^{2}{\text{e}^\text{x}}^{3}$

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