What is implicit (dy)/(dx),x=y^{10} ?

The answer to implicit (dy)/(dx),x=y^{10} is (dy)/(dx)= 1/(10y^9)

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implicit (dy)/(dx),x=y^{10}

implicit derivative

\frac{d y}{d x}, x = y^{10}

\frac{d y}{d x} = \frac{1}{10 y ^{9}}

Solution steps

x = y^{10}

Treat

y

y (x)

Differentiate both sides:

1 = 10 y^{9} \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1}{10 y ^{9}}

\frac{d y}{d x} = \frac{1}{10 y ^{9}}

\frac{\partial}{\partial x} (- \frac{x}{1 - x ^{2} y ^{2}})

\int e^{x} e^{x} - 1 d x

x \to \infty lim (\frac{1}{x} - 4)

f (x) = \frac{1 + x}{1 + e ^{x}}, at x = 0

\frac{10}{s ( s + 3 )}

What is implicit (dy)/(dx),x=y^{10} ?
The answer to implicit (dy)/(dx),x=y^{10} is (dy)/(dx)= 1/(10y^9)