91Ó°ÊÓ

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=(x+3)(x-2) $$

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=(x-1)(x+1) $$

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=\frac{x^{5}-x^{3}}{x^{2}} $$

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=\frac{x^{5}+x}{x^{2}} $$

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=\sqrt{7 x} $$

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=\sqrt[3]{8 x} $$

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=\left(\sqrt{x}-\frac{1}{\sqrt{x}}\right)^{2} $$

Find dy/dx. Each function can be differentiated using the rules developed in this section, but some algebra may be required beforehand. $$ y=(x+1)^{3} $$

Then estimate the \(x\) -values at which tangent lines are horizontal. $$ f(x)=x^{4}-3 x^{2}+1 $$

Then estimate the \(x\) -values at which tangent lines are horizontal. $$ f(x)=\frac{5 x^{2}+8 x-3}{3 x^{2}+2} $$