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In this paper, we investigate the derivations in evolution algebras that arepower-associative. This problem is reduced to that of power-associativeevolution nilalgebras. We show how to calculate derivations in decomposablealgebras. This caculation shows that it is enough to describe derivations inindecomposable evolution algebras. We first determine the derivation algebra of$n$-dimensional indecomposable associative evolution nilalgebras withone-dimensional annihilator. We describe the derivation algebra ofindecomposable nilalgebras, up to dimension $6$, that are associative or not.In each cases, we give the commutator of two derivations. We also describe theideal of inner derivations.

D\'erivations dans les alg\`ebres d'\'evolution \`a puissances associatives