What is the slope of y^4-4y^2=x^4-9x^2,(-3,-2) ?

The slope of y^4-4y^2=x^4-9x^2,(-3,-2) is 27/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

slope of y^4-4y^2=x^4-9x^2,(-3,-2)

slope

y^{4} - 4 y^{2} = x^{4} - 9 x^{2}, (- 3, - 2)

\frac{27}{8}

Solution steps

y^{4} - 4 y^{2} = x^{4} - 9 x^{2}

Use implicit differentiation to find the slope of

y^{4} - 4 y^{2} = x^{4} - 9 x^{2}

Implicit Derivative

\frac{d y}{d x}

y^{4} - 4 y^{2} = x^{4} - 9 x^{2} : \frac{x ( 2 x ^{2} - 9 )}{2 y ( y ^{2} - 2 )}

\frac{x ( 2 x ^{2} - 9 )}{2 y ( y ^{2} - 2 )}

Find the slope at

(- 3, - 2) : \frac{27}{8}

\frac{27}{8}

\int \frac{- sin ^{2} ( x )}{cos ( x )} d x

y = sin (sin (x))

\frac{\partial}{\partial x} (ln (8 x^{2} + 7 y^{2} + 9))

\int x^{5} e^{- x^{3}} d x

\frac{\partial}{\partial x} (x e^{4 y})

What is the slope of y^4-4y^2=x^4-9x^2,(-3,-2) ?
The slope of y^4-4y^2=x^4-9x^2,(-3,-2) is 27/8