What is implicit (dy)/(dx),6xy+x^2-2y^2=3 ?

The answer to implicit (dy)/(dx),6xy+x^2-2y^2=3 is (dy)/(dx)=-(x+3y)/(3x-2y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit (dy)/(dx),6xy+x^2-2y^2=3

implicit derivative

\frac{d y}{d x}, 6 x y + x^{2} - 2 y^{2} = 3

\frac{d y}{d x} = - \frac{x + 3 y}{3 x - 2 y}

Solution steps

6 x y + x^{2} - 2 y^{2} = 3

Treat

y

y (x)

Differentiate both sides:

6 (y + x \frac{d y}{d x}) + 2 x - 4 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{x + 3 y}{3 x - 2 y}

\frac{d y}{d x} = - \frac{x + 3 y}{3 x - 2 y}

(20 y + y^{2}) (\frac{20 y + y ^{2}}{20 + 3.46 y})^{\frac{2}{3}}

A (e^{- x} - e^{- x} x)

(- 1, 2) y (- 3, - 6)

(y^{2} x) (y sin (x y) - \frac{y ^{3} - 2 x ^{3}}{x ^{2} y})

(x + 5 + 2)^{2}

What is implicit (dy)/(dx),6xy+x^2-2y^2=3 ?
The answer to implicit (dy)/(dx),6xy+x^2-2y^2=3 is (dy)/(dx)=-(x+3y)/(3x-2y)