1.
[tex]\begin{gathered} u=3x^2+2 \\ \\ \frac{du}{dx}=2*3x^{2-1} \\ \\ \frac{du}{dx}=6x \end{gathered}[/tex]Answer: a)
2.
[tex]\begin{gathered} v=5x^3+1 \\ \\ \frac{dv}{dx}=3*5x^{3-1} \\ \\ \frac{dv}{dx}=15x^2 \end{gathered}[/tex]Answer: d)
3.
[tex]\frac{d}{dx}a*b=ab^{\prime}+a^{\prime}b[/tex][tex]\begin{gathered} \frac{dy}{dx}=(3x^2+2)(15x^2)+6x(5x^3+1) \\ \\ \frac{dy}{dx}=45x^4+30x^2+30x^4+6x \\ \\ \frac{dy}{dx}=75x^4+30x^2+6x \end{gathered}[/tex]Answer: b)
