Solve ddy/dxtext{if}y=(tan^-1x)^frac{1{x}}*(operatorname{Dec}2018)

$$d \frac { d y } { d x } \text { if } y = ( \tan ^ { - 1 } x ) ^ { \frac { 1 } { x } } \cdot ( \operatorname { Dec } 2018 )$$

Solve for D

$$\left\{\begin{matrix}D=0\text{, }&x\neq 0\\D\in \mathrm{C}\text{, }&x\neq 0\text{ and }c_{2018}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\left(\arctan(x)\right)^{\frac{1}{x}}Dec_{2018}=d\frac{\mathrm{d}(y)}{\mathrm{d}x}ify$$

The equation is in standard form.

$$ec_{2018}\left(\arctan(x)\right)^{\frac{1}{x}}D=0$$

Divide 0 by \left(\arctan(x)\right)^{x^{-1}}ec_{2018}.

$$D=0$$

Solve for c_2018

$$\left\{\begin{matrix}c_{2018}=0\text{, }&x\neq 0\\c_{2018}\in \mathrm{C}\text{, }&x\neq 0\text{ and }D=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\left(\arctan(x)\right)^{\frac{1}{x}}Dec_{2018}=d\frac{\mathrm{d}(y)}{\mathrm{d}x}ify$$

The equation is in standard form.

$$eD\left(\arctan(x)\right)^{\frac{1}{x}}c_{2018}=0$$

Divide 0 by \left(\arctan(x)\right)^{x^{-1}}De.

$$c_{2018}=0$$