What is the slope of (4x+4y)^3=64x^3+64y^3,(-1,1) ?

The slope of (4x+4y)^3=64x^3+64y^3,(-1,1) is -1

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slope of (4x+4y)^3=64x^3+64y^3,(-1,1)

slope

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3}, (- 1, 1)

- 1

Solution steps

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3}

Use implicit differentiation to find the slope of

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3}

Implicit Derivative

\frac{d y}{d x}

(4 x + 4 y)^{3} = 64 x^{3} + 64 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

\frac{d}{d x} (- \frac{49 x}{36 y})

7 x + 4, at x = 3

\frac{d}{d x} (- e^{5 x})

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

\int \frac{x ^{2}}{x ^{6} + 1} d x

What is the slope of (4x+4y)^3=64x^3+64y^3,(-1,1) ?
The slope of (4x+4y)^3=64x^3+64y^3,(-1,1) is -1