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 -(8x^3+8xy^2-50x)/(-1+8y^3+50y+8x^2y)

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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{8 x ^{3} + 8 x y ^{2} - 50 x}{- 1 + 8 y ^{3} + 50 y + 8 x ^{2} y}

Solution steps

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

Use implicit differentiation to find the slope of

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

Implicit Derivative

\frac{d y}{d x}

y = 2 (x^{2} + y^{2})^{2} - 25 (x^{2} - y^{2}) : - \frac{8 x ^{3} + 8 x y ^{2} - 50 x}{- 1 + 8 y ^{3} + 50 y + 8 x ^{2} y}

- \frac{8 x ^{3} + 8 x y ^{2} - 50 x}{- 1 + 8 y ^{3} + 50 y + 8 x ^{2} y}

\frac{\partial}{\partial x} (- sin (x) y)

\int \frac{1}{π x ( 1 - x )} d x

\int \frac{x ^{2}}{( x - 5 ) ^{3}} d x

\frac{d}{d x} (cos (2 - 7 x))

\frac{x}{5 - x}

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 -(8x^3+8xy^2-50x)/(-1+8y^3+50y+8x^2y)