Variation of slope:
The variation of slope is parabolic.
The variation of deflection is cubic parabola . The maximum slopes are at A & B.
The maximum deflection is at C.
Slope at A, that means at x = 0, from Eq.
θA =- W l 2 / 16 EI
Slope at B, x = l, from Eq.
θB = + W l 2 /16 EI
Deflection at C, x = l/2 , from Eq.
yC =- W l3 /48 EI