In this paper, we study derivations of commutative algebras satisfying a polynomial identity of degree five, given by \(x^{5} + \lambda x^3x^2 - (1 +\lambda ) x(x^2x^2)=0\) where \(\lambda \in K-\{0; 1; \frac {1}{2}\}\) , K being an infinite commutative field. This identity is a generalization of the identity studied by Guiro et al. in where \( 2\lambda + 3 = 0 \) . This class of algebras contains strictly generalized almost Jordan algebras. In in a paper entitled An equivalence in generalized almost-Jordan algebras. Guzzo and Labra showed that any generalized almost Jordan algebra with \( 3\beta + \gamma = 0 \) , more generally satisfies an identity of degree greater than 4, given by \(2x^4x^k - 2x^2x^{k+2} + (x^2)^2x^k - x^2 (x^2x^k) = 0, \quad \forall k\geq 1\) .