What is the slope of 2(x^2+y^2)^2=25(x^2-y^2) ?

The slope of 2(x^2+y^2)^2=25(x^2-y^2) is (x(25-4x^2-4y^2))/(y(4x^2+4y^2+25))

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slope of 2(x^2+y^2)^2=25(x^2-y^2)

slope

2 (x^{2} + y^{2})^{2} = 25 (x^{2} - y^{2})

\frac{x ( 25 - 4 x ^{2} - 4 y ^{2} )}{y ( 4 x ^{2} + 4 y ^{2} + 25 )}

Solution steps

2 (x^{2} + y^{2})^{2} = 25 (x^{2} - y^{2})

Use implicit differentiation to find the slope of

2 (x^{2} + y^{2})^{2} = 25 (x^{2} - y^{2})

Implicit Derivative

\frac{d y}{d x}

2 (x^{2} + y^{2})^{2} = 25 (x^{2} - y^{2}) : \frac{x ( 25 - 4 x ^{2} - 4 y ^{2} )}{y ( 4 x ^{2} + 4 y ^{2} + 25 )}

\frac{x ( 25 - 4 x ^{2} - 4 y ^{2} )}{y ( 4 x ^{2} + 4 y ^{2} + 25 )}

n = 1 \sum \infty \frac{( n + 1 )}{n}

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

sin (3 x^{2} + cos (x))

y = 3 + cot (x) - 2 csc (x)

\int_{2}^{5} \frac{t}{5 + t ^{2}} d t

What is the slope of 2(x^2+y^2)^2=25(x^2-y^2) ?
The slope of 2(x^2+y^2)^2=25(x^2-y^2) is (x(25-4x^2-4y^2))/(y(4x^2+4y^2+25))