d*y For the function y = 4x, find 4

$$\begin{gathered} Given function \\ y=4x^5 \\ differentiate with respective x \\ \frac{dy}{dx}=\frac{d}{dx}\left(4x^5\right) \\ \frac{dy}{dx}=4\frac{d}{dx}\left(x^5\right) \\ \frac{dy}{dx}=4*5x^{5-1} (\frac{d}{dx}{x}^n=n{x}^{n-1}) \\ \frac{dy}{dx}=4*5x^4 \\ again differentiate with respective x \\ \frac{d^{2}y}{d{x}^2}=20\frac{d}{dx}\left(x^4\right) \\ \frac{d^{2}y}{d{x}^2}=20*4x^{4-1} \\ \frac{d^{2}y}{d{x}^2}=80\left(x^3\right) \\ again differentiate with respective x \\ \frac{d^{3}y}{d{x}^3}=80\frac{d}{dx}\left(x^3\right) \\ \frac{d^{3}y}{d{x}^3}=80*3\left(x^{3-1}\right) \\ \frac{d^{3}y}{d{x}^3}=240\left(x^2\right) \\ again differentiate with respective x \\ \frac{d^{4}y}{d{x}^4}=240*\frac{d}{dx}{x}^2 \\ \frac{d^{4}y}{d{x}^4}=240*2x^{2-1} \\ \frac{d^{4}y}{d{x}^4}=480x \end{gathered}$$