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

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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}

(\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 5 y^{3})

\frac{d y}{d x} = (e^{x - y})

\int_{2}^{x^{3}} t^{4} d t

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{2} t

f (x) = e^{8 x}

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