d 2x^2+4x+2= f. 20x^2+20x+5= g. 5x^2+60x+180=

To find the derivative of each function, we will use the power rule and the constant multiple rule.<br /><br />d) $2x^{2}+4x+2$<br />Using the power rule, the derivative of $2x^{2}$ is $4x$, and the derivative of $4x$ is $4$. The derivative of the constant term $2$ is $0$. Therefore, the derivative of $2x^{2}+4x+2$ is $4x+4$.<br /><br />f) $20x^{2}+20x+5$<br />Using the power rule, the derivative of $20x^{2}$ is $40x$, and the derivative of $20x$ is $20$. The derivative of the constant term $5$ is $0$. Therefore, the derivative of $20x^{2}+20x+5$ is $40x+20$.<br /><br />g) $5x^{2}+60x+180$<br />Using the power rule, the derivative of $5x^{2}$ is $10x$, and the derivative of $60x$ is $60$. The derivative of the constant term $180$ is $0$. Therefore, the derivative of $5x^{2}+60x+180$ is $10x+60$.