What is implicit (dy)/(dx),y^9=x^8 ?

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

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implicit (dy)/(dx),y^9=x^8

implicit derivative

\frac{d y}{d x}, y^{9} = x^{8}

\frac{d y}{d x} = \frac{8 x ^{7}}{9 y ^{8}}

Solution steps

y^{9} = x^{8}

Treat

y

y (x)

Differentiate both sides:

9 y^{8} \frac{d y}{d x} = 8 x^{7}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{8 x ^{7}}{9 y ^{8}}

\frac{d y}{d x} = \frac{8 x ^{7}}{9 y ^{8}}

\int (x^{2} - 8)^{3} (2 x) d x

\int_{1}^{\infty} x^{- 7} d x

\frac{d}{d x} (\frac{x + 2}{x ^{2} + 4 x + 13})

n = 1 \sum \infty \frac{60}{7 ^{n}}

f (t) = sin (t) + t cos (t)

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