Solve for y
\left\{\begin{matrix}y=\frac{1}{x^{2}}\text{, }&x>0\\y\geq 0\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=0\text{, }&y\geq 0\\x=\frac{1}{\sqrt{y}}\text{, }&y>0\end{matrix}\right.
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\frac{\sqrt{x^{4}}\sqrt{y}}{\sqrt{x^{4}}}=\frac{x}{\sqrt{x^{4}}}
Divide both sides by \sqrt{x^{4}}.
\sqrt{y}=\frac{x}{\sqrt{x^{4}}}
Dividing by \sqrt{x^{4}} undoes the multiplication by \sqrt{x^{4}}.
\sqrt{y}=\frac{1}{x}
Divide x by \sqrt{x^{4}}.
y=\frac{1}{x^{2}}
Square both sides of the equation.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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