What is implicit x^8+y^7=9 ?

The answer to implicit x^8+y^7=9 is (dy)/(dx)=-(8x^7)/(7y^6)

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implicit x^8+y^7=9

implicit derivative

x^{8} + y^{7} = 9

\frac{d y}{d x} = - \frac{8 x ^{7}}{7 y ^{6}}

Solution steps

x^{8} + y^{7} = 9

Treat

y

y (x)

Differentiate both sides:

8 x^{7} + 7 y^{6} \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{8 x ^{7}}{7 y ^{6}}

\frac{d y}{d x} = - \frac{8 x ^{7}}{7 y ^{6}}

y^{^{'}} + 3 x y^{3} = 0

f (x) = \frac{x + 3}{x - 3}

\int_{- 1}^{2} 3 x 4 x^{2} - 2 d x

x \to 0 - lim (\frac{1}{e ^{x} - 1})

\int 0.815 x e^{- 0.3 x} d x

What is implicit x^8+y^7=9 ?
The answer to implicit x^8+y^7=9 is (dy)/(dx)=-(8x^7)/(7y^6)