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For complex numbers α, β and M ∈ ℝ with 0 < M ≤ |α| and |β| ≤ 1, let ℬ(α, β, M) be the class of analytic and univalent functions f in the unit disk 𝔻 with f(0) = 0, f ′(0) = α and f ″(0) = Mβ satisfying |zf ″(z)| ≤ M, z ∈ 𝔻. Let 𝒫(α, M) be the another class of analytic and univalent functions in 𝔻 with f(0) = 0, f ′(0) = α satisfying Re(zf ″(z)) > −M, z ∈ 𝔻, where α ∈ ℂ∖{0}, 0 < M ≤ 1/log 4. For any fixed z ₀ ∈ 𝔻, and we shall determine the region of variability V _j (j = 1, 2) for f ′(z ₀) when f ranges over the class 𝒮 _j (j = 1, 2), where and In the final section we graphically illustrate the region of variability for several sets of parameters.