use the three methods in the pic  Image text transcribed for
accessibility: Use the following methods to solve for the
maximum deflection (minimum y value) in the beam. Take the
derivative by hand and use the fzero function to find the
minimum. Use the gradient function to numerically calculate the
derivatives and find the minimum within 1 mm Use fminsearch to
find the minimum value for the deflected beam. Display all your
results. Figure P5.13a shows a uniform beam subject to a
linearly increasing distributed load. The equation for the
resulting elastic curve is (see Fig. P5.13b) y = w0 / 120EIL (-
x5 + 2L2x3 - L4x) (P5.13) L = 600 cm, E = 50.000 kN/cm2, I =
30,000 cm4, and w0 = 2.5 kN/cm.