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A sensitivity of transfer function $$T = \frac{(A_1 + kA_2)}{(A_3 + kA_4)}$$ with respect to parameter k is given by
$$\frac{k(A_2A_3 - A_1A_4)}{((A_3 + kA_4)(A_1 + kA_2))}$$
$$\frac{(A_2A_3 - A_1A_4)}{((A_3 + kA_4)^2)}$$
$$\frac{k(A_2A_3 - A_1A_4)}{((A_3 + kA_4)^2)}$$
$$\frac{(A_2A_3 - A_1A_4)}{((A_3 + kA_4)(A_1 + kA_2))}$$
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