Let $\mathbb{C}=\{z=x+i y: x$ and $y$ are real numbers, $i=\sqrt{-1}\}$ be the set of complex numbers. Let the function $f(z)=u(x, y)+i v(x, y)$ for $z=x+i y \in \mathbb{C}$ be analytic in C, where
$$
u(x, y)=x y^3-y x^3 \quad \text { and } \quad v(x, y)=\frac{x^4}{4}+\frac{y^4}{4}-\frac{3}{2} x^2 y^2 .
$$
If $f^{\prime}(z)$ denotes the derivative of $f(z)$, then
- $\left|f^{\prime}(-1+i)\right|^2=1$
- $\left|f^{\prime}(-1+i)\right|^2=7$
- $\left|f^{\prime}(-1+i)\right|^2=8$
- $\left|f^{\prime}(-1+i)\right|^2=10$
