Please help, On my last attempt. Find the maximum deflection of the beam shown, and the location along the beam's length $($x$)$ where this occurs:

The equation for the deflection of a linearly increasing distributed load on an elastic

beam is:

$f(x)=\frac{w_o}{120\text{E}\text{I}\text{L}}(-x^5+2L^2{x}^3-L^{4}x)$

For this example, the parameters are given as:

$L=600cm$

$E=50,000k\frac{N}{c}{m}^2$

$I=30,000c{m}^4$

$W_0=2\mathrm{.}5k\frac{N}{c}m$