Skip to Content

Build your own quiz

6 questions

Show Answers

See Preview

- Multiple ChoicePlease save your changes before editing any questions.
Find dy/dx by Implicit Differentiation

x

^{3}+y^{3 }= 366 -x

3x

^{2}+3y^{2}$\frac{-x^2}{y^2}$

0

- Multiple ChoicePlease save your changes before editing any questions.Find dy/dx by Implicit Differentiation

2xy^{3 }- x^{2}y = 22xy - 2y^{3}2y(x-y^{2})/x(6y^{2}-x)-2y/x2 - Multiple ChoicePlease save your changes before editing any questions.
If x

^{2}+ xy = 10, then when x = 2, dy/dx =-7/2

2/7

3/2

7/2

- Multiple ChoicePlease save your changes before editing any questions.
Find dy/dx for 5x

^{2 }- xy - 4y^{2 }= -4(x+8y)/(10x-y)

(10x-y)/(x+8y)

2

(10x+y)/(x-8y)

- Multiple ChoicePlease save your changes before editing any questions.
Find the slope of the tangent line at the given point

x

^{3}+2xy -y^{2}=11 at (2,3)-4/7

12

-9

9

- Multiple ChoicePlease save your changes before editing any questions.
$x^2+xy+y^2=9\ @\ \left(1,2\right)$ Use implicit differentiation to write the equation of the tangent line to the curve at the given point.

$y-1=\frac{-4}{5}\left(x-2\right)$

$y-2=\frac{-4}{5}\left(x-1\right)$

$y-2=\frac{4}{5}\left(x-1\right)$

$y+2=\frac{-4}{5}\left(x+1\right)$