h(θ) = θ ⁄ (1 – θ)² ... use the quotient rule
h ' (θ) = [(1 – θ)² + 2θ(1 – θ) ] ⁄ (1 – θ)^4
h ' (θ) = [1 – 2θ + θ² + 2θ – 2θ² ] ⁄ (1 – θ)^4
h ' (θ) = (1 – θ² ) ⁄ (1 – θ)^4
h ' (θ) = (1 – θ)(1 + θ) ⁄ (1 – θ)^4
h ' (θ) = (1 + θ) ⁄ (1 – θ)³
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h(θ) = θ ⁄ (1 – θ)² ... use the quotient rule
h ' (θ) = [(1 – θ)² + 2θ(1 – θ) ] ⁄ (1 – θ)^4
h ' (θ) = [1 – 2θ + θ² + 2θ – 2θ² ] ⁄ (1 – θ)^4
h ' (θ) = (1 – θ² ) ⁄ (1 – θ)^4
h ' (θ) = (1 – θ)(1 + θ) ⁄ (1 – θ)^4
h ' (θ) = (1 + θ) ⁄ (1 – θ)³