partial derivative of logit function

Question

Could someone please be so kind and tell me the first partial derivative with respect to X1 for this logit function?

$$ Y(X1, X2, X3) = \frac{P1}{1 + e^{-(P2 + P3 * X1 + P4 * X2 + P5 * X3)}} $$

Thanks!

Answer 1

It's $P1 \cdot P3 \cdot e^{P2+P3\cdot X1 + P4 \cdot X2 + P5 \cdot X3}$.