🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning Oh no! Our educators are currently working hard solving this question. In the meantime, our AI Tutor recommends this similar expert step-by-step video covering the same topics. Numerade Educator ### Problem 3 Easy Difficulty # Determine the derivative of each of the following:a.$y=2 e^{x^{3}}$b.$y=x e^{3 x}$c.$f(x)=\frac{e^{-x^{3}}}{x}$d.$f(x)=\sqrt{x} e^{x}$e.$h(t)=e t^{2}+3 e^{-t}$f.$g(t)=\frac{e^{2 t}}{1+e^{2 t}}$### Answer ## a.$6 x^{2} e^{x^{3}}$b.$e^{3 x}(3 x+1)$c.$\frac{-3 x^{2} e^{-x^{3}}(x)-e^{-x^{3}}}{x^{2}}$d.$\sqrt{x} e^{x}+e^{x}\left(\frac{1}{2 \sqrt{x}}\right)$e.$2 t e^{\prime^{2}}-3 e^{-t}$f.$\frac{2 e^{2 t}}{\left(1+e^{2 t}\right)^{2}}\$

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{'transcript': "Okay, so we see No, have thought to turn here. So it's take the derivative and use our product role. It's a derivative of E that's negative each evening of X times, the square root of and in plus the derivative of square root of X. So that's 1/2 exit are thinking of 1/2 and in each of the *** vex. So this is our following devoted."}

University of California, Berkeley

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