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Question Number 96041 by mhmd last updated on 29/May/20

$$iff\left(x\right)=3^{x^{2+x^3}}find{f}^{\prime }\left(x\right)?$$

Answered by Sourav mridha last updated on 29/May/20

$$$$$$\mathrm{so},{\mathrm{f}}^{{}^{\prime }}\left(\mathrm{x}\right)=\ln 3.3^{{\mathrm{x}}^{2+{\mathrm{x}}^3}}\frac{\mathrm{d}}{\mathrm{dx}}\left({\mathrm{e}}^{(2+{\mathrm{x}}^3).\mathrm{lnx}}\right)$$$$=\ln 3.3^{{\mathrm{x}}^{2+{\mathrm{x}}^3}}.{\mathrm{x}}^{2+{\mathrm{x}}^3}.[{\mathrm{x}}^2+\frac{2}{\mathrm{x}}+{3\mathrm{x}}^2\mathrm{lnx}]$$

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