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}

\int x^{2} (1 - x)^{6} d x

\frac{d}{d x} (- \frac{1}{x ^{7.7}})

\frac{d}{d x} (\frac{∣ x ∣}{x})

\int \frac{x ^{3} - 8 x + 1}{( 2 x ) ^{4}} d x

x y^{^{'}} + y = - 2 x y^{2}, y (1) = - 5

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