What is the slope of (2x+2y)^3=8x^3+8y^3,(-1,1) ?

The slope of (2x+2y)^3=8x^3+8y^3,(-1,1) is -1

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slope of (2x+2y)^3=8x^3+8y^3,(-1,1)

slope

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3}, (- 1, 1)

- 1

Solution steps

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3}

Use implicit differentiation to find the slope of

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3}

Implicit Derivative

\frac{d y}{d x}

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

- \frac{y ( 2 x + y )}{x ( x + 2 y )}

Find the slope at

(- 1, 1) : - 1

- 1

\int (2 x + 1) (x - 3) d x

\frac{\partial}{\partial x} (tan (x y^{3}))

9 y^{^{''}} + 6 y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = 2

(7 x^{2} - 11 x) e^{x}

\frac{\partial}{\partial z} (z^{2} x + y^{3})

What is the slope of (2x+2y)^3=8x^3+8y^3,(-1,1) ?
The slope of (2x+2y)^3=8x^3+8y^3,(-1,1) is -1