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y=e^tan(2x) |
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Answer» Given,\(\text{y=e}^{\text{tan(2x)}}\) Then ,\(\frac{dy}{dx}=\frac{d}{dx}(e^{tan2x})\) \(=e^{tan2x}.\frac{d}{dx}(\small{tan2x})\\ =e^{tan2x}.\small{sec^22x}.\frac{d}{dx}(\small{{2x}})\\=\mathbf{2sec}^{\mathbf{2}}\mathbf{2x}.{\mathbf{e}^{\mathbf{tan2x}}}\) |
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