What is implicit (dy)/(dx),9x=y^2 ?

The answer to implicit (dy)/(dx),9x=y^2 is (dy)/(dx)= 9/(2y)

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implicit (dy)/(dx),9x=y^2

implicit derivative

\frac{d y}{d x}, 9 x = y^{2}

\frac{d y}{d x} = \frac{9}{2 y}

Solution steps

9 x = y^{2}

Treat

y

y (x)

Differentiate both sides:

9 = 2 y \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{9}{2 y}

\frac{d y}{d x} = \frac{9}{2 y}

\int x \cdot e^{3 \cdot x} d x

x \to - 3 lim (5 (3 x^{2} - 24 x + 3))

d er i v a t i v e 2 4 9 - x^{2}

\int \frac{cos ( θ )}{2 + sin ^{2} ( θ )} d θ

x \to 0 lim (\frac{4 x ^{2}}{x})

What is implicit (dy)/(dx),9x=y^2 ?
The answer to implicit (dy)/(dx),9x=y^2 is (dy)/(dx)= 9/(2y)