What is implicit (dy)/(dx),4y^2+2=3x^2 ?

The answer to implicit (dy)/(dx),4y^2+2=3x^2 is (dy)/(dx)=(3x)/(4y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit (dy)/(dx),4y^2+2=3x^2

implicit derivative

\frac{d y}{d x}, 4 y^{2} + 2 = 3 x^{2}

\frac{d y}{d x} = \frac{3 x}{4 y}

Solution steps

4 y^{2} + 2 = 3 x^{2}

Treat

y

y (x)

Differentiate both sides:

8 y \frac{d y}{d x} = 6 x

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{3 x}{4 y}

\frac{d y}{d x} = \frac{3 x}{4 y}

\int \frac{- 1}{x ^{2}} d x

\int \frac{1}{x ^{2} + 2 x + 101} d x

x \to 0 lim (\frac{x ^{2} + 4 x - 2}{x})

e^{- 2 t} sin (2 t)

\int (- \frac{5}{x} + e^{- 2 x}) d x

What is implicit (dy)/(dx),4y^2+2=3x^2 ?
The answer to implicit (dy)/(dx),4y^2+2=3x^2 is (dy)/(dx)=(3x)/(4y)