What is the slope of 7y^3+9x^8=5y+11x,(1,1) ?

The slope of 7y^3+9x^8=5y+11x,(1,1) is -61/16

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slope of 7y^3+9x^8=5y+11x,(1,1)

slope

7 y^{3} + 9 x^{8} = 5 y + 11 x, (1, 1)

- \frac{61}{16}

Solution steps

7 y^{3} + 9 x^{8} = 5 y + 11 x

Use implicit differentiation to find the slope of

7 y^{3} + 9 x^{8} = 5 y + 11 x

Implicit Derivative

\frac{d y}{d x}

7 y^{3} + 9 x^{8} = 5 y + 11 x : \frac{11 - 72 x ^{7}}{21 y ^{2} - 5}

\frac{11 - 72 x ^{7}}{21 y ^{2} - 5}

Find the slope at

(1, 1) : - \frac{61}{16}

- \frac{61}{16}

x^{4} + 5 x^{2} - x

f (x) = 8 e^{e}

x^{2} e^{x} - 2 x e^{x} + 6 e^{x}

\int_{2}^{2 x} 15 - t d t

y = x^{5} cos (x)

What is the slope of 7y^3+9x^8=5y+11x,(1,1) ?
The slope of 7y^3+9x^8=5y+11x,(1,1) is -61/16