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 -(10y(2x+y))/(10x^2+20xy+21y^2)

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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)

- \frac{10 y ( 2 x + y )}{10 x ^{2} + 20 x y + 21 y ^{2}}

Solution steps

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3} (- 1.1)

Use implicit differentiation to find the slope of

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3} (- 1.1)

Implicit Derivative

\frac{d y}{d x}

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3} (- 1.1) : - \frac{10 y ( 2 x + y )}{10 x ^{2} + 20 x y + 21 y ^{2}}

- \frac{10 y ( 2 x + y )}{10 x ^{2} + 20 x y + 21 y ^{2}}

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 -(10y(2x+y))/(10x^2+20xy+21y^2)