[tex]\left(e^{\frac{x}{x+1}}\right)'=e^{\frac{x}{x+1}}\left(\dfrac{x}{x+1}\right)'=e^{\frac{x}{x+1}}\cdot\dfrac{1}{(x+1)^2}[/tex]
[tex]\left(2^{x^2}+e^{x^3}\right)'=2^{x^2}\cdot ln2\cdot(x^2)'+e^{x^3}\cdot(x^3)'=2x\cdot2^{x^2}\cdot ln2+3x^2e^{x^3}[/tex]
[tex](sin^3x)'=\left((sinx)^3\right)'=3(sinx)^2(sinx)'=3sin^2x\cdot cosx[/tex]
