Question #d45a8

Question

Question #d45a8

1 Answer

Impact of this question

1121 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-29T10:56:25

$m_{tangent} = \frac{4}{9}$ $m_("tangent")=4/9$

Explanation:

$∙ note that \frac{d y}{d x} = m_{tangent}$ $• "note that " dy/dx=m_("tangent")$

$differentiate implicitly with repect to x$ $"differentiate "color(blue)"implicitly with repect to x"$

$differentiate - 2 x y using the product rule$ $"differentiate " -2xy" using the "color(blue)"product rule"$

$\Rightarrow 6 y \frac{d y}{d x} - 4 x = 0 - 2 x . \frac{d y}{d x} - 2 y$ $rArr6ydy/dx-4x=0-2x.dy/dx-2y$

$\Rightarrow \frac{d y}{d x} (6 y + 2 x) = 4 x - 2 y$ $rArrdy/dx(6y+2x)=4x-2y$

$\Rightarrow \frac{d y}{d x} = \frac{4 x - 2 y}{6 y + 2 x}$ $rArrdy/dx=(4x-2y)/(6y+2x)$

$\Rightarrow \frac{d y}{d x} at (3, 2)$ $rArrdy/dx" at " (3,2)$

$= \frac{12 - 4}{12 + 6} = \frac{4}{9}$ $=(12-4)/(12+6)=4/9$

Science

Math

Humanities

... and beyond

Question #d45a8

1 Answer

Explanation:

Related questions

Impact of this question