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

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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)

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

Solution steps

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3} (- 1.1)

Use implicit differentiation to find the slope of

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3} (- 1.1)

Implicit Derivative

\frac{d y}{d x}

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

\int_{1}^{5} \frac{5}{x} d x

\frac{3}{4 x + 6} + 4 x^{2}

\int (20 x + 7) d x

x \to 2 lim (\frac{4 - x ^{2}}{x + 2})

f (x) = 2 x^{2} + 10 x + 9, at x = - 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 -(10y(2x+y))/(10x^2+20xy+21y^2)