Math Problem Solver

$$\frac{d}{dx}\left[y\left( x \right)\right] + {\frac{d}{dx}\left[y\left( x \right)\right]}^{2} = \left. \frac{d}{d x} y{\left(x \right)} \right|_{\substack{ x=y }}^{2} + \left. \frac{d}{d x} y{\left(x \right)} \right|_{\substack{ x=y }}$$

$$\begin{aligned}\left(\frac{d}{d x} y{\left(x \right)}\right)^{2} + \frac{d}{d x} y{\left(x \right)}&=\left. \frac{d}{d x} y{\left(x \right)} \right|_{\substack{ x=y }}^{2} + \left. \frac{d}{d x} y{\left(x \right)} \right|_{\substack{ x=y }}\\&=\left. \frac{d}{d x} y{\left(x \right)} \right|_{\substack{ x=y }}^{2} + \left. \frac{d}{d x} y{\left(x \right)} \right|_{\substack{ x=y }}\end{aligned}$$