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 (3 x^{3} - \frac{1}{4 x}) d x

\int e^{x - 2} d x

n = 0 \sum \infty 9 (\frac{1 - 3}{4})^{n}

\frac{d}{d x} (\frac{3 ^{x}}{x ^{3}})

\int_{0}^{1} (- x + 2) - (x^{2} - 1) d 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