Math Analysis Derivatives and Tangent Lines Review

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=x^2,\ \ \ \ \ x=4$  

•  $16$  

•  $1$  

•  $-8$  

•  $8$  

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=7x^2-3x,\ \ \ \ \ x=9$  

•  $564$  

•  $123$  

•  $-129$  

•  $129$  

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=9x-x^2,\ \ \ \ \ x=1$  

•  $7$  

•  $8$  

•  $2$  

•  $9$  

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=-\frac{8}{x},\ \ \ \ \ x=-9$  

•  $\frac{8}{9}$  

•  $\frac{81}{8}$  

•  $\frac{8}{81}$  

•  $-\frac{8}{81}$  

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=3\sqrt{x},\ \ \ \ \ x=49$  

•  $-\frac{3}{14}$  

•  $\frac{3}{7}$  

•  $\frac{3}{98}$  

•  $\frac{3}{14}$  

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=10x^2-3x,\ \ \ \ \ x=6$  

•  $357$  

•  $117$  

•  $-123$  

•  $123$  

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=-\frac{3}{x},\ \ \ \ \ x=-2$  

•  $\frac{3}{2}$  

•  $\frac{4}{3}$  

•  $\frac{3}{4}$  

•  $-\frac{3}{4}$  

Find the slope of the tangent line to the curve when x has the given value.

 $f\left(x\right)=10\sqrt{x},\ \ \ \ \ x=9$  

•  $-\frac{5}{3}$  

•  $\frac{10}{3}$  

•  $\frac{5}{9}$  

•  $\frac{5}{3}$  

Find the equation of the tangent line to the curve when x has the given value.

 $f\left(x\right)=5x^2+x,\ \ \ \ \ x=-4$  

•  $y=-39x-80$  

•  $y=13x-16$  

•  $y=\frac{1}{20}x+\frac{1}{5}$  

•  $y=-\frac{4}{25}x+\frac{8}{5}$  

Find the equation of the tangent line to the curve when x has the given value.

 $f\left(x\right)=-4\sqrt{x},\ \ \ \ \ x=9$  

•  $y=-\frac{2}{3}x-6$  

•  $y=-\frac{2}{3}x-8$  

•  $y=\frac{2}{3}x-6$  

•  $y=-\frac{2}{3}x+6$