( \beta ) ^ { 2 } + ( \tan \alpha - \tan \beta ) ^ { 2 } - \frac { } { \sec ^ { 2 } \alpha \sec ^ { 2 } \beta }
Evaluate
\frac{-2\left(\cos(\alpha )\cos(\beta )\right)^{4}+2\left(\beta \cos(\alpha )\cos(\beta )\right)^{2}+2\left(\sin(\alpha )\cos(\beta )\right)^{2}+2\left(\sin(\beta )\cos(\alpha )\right)^{2}-\sin(2\alpha )\sin(2\beta )}{2\left(\cos(\alpha )\cos(\beta )\right)^{2}}
Differentiate w.r.t. β
2\left(-\frac{\sin(\alpha -\beta )}{\cos(\alpha )\left(\cos(\beta )\right)^{3}}+\frac{1}{2}\sin(2\beta )\left(\cos(\alpha )\right)^{2}+\beta \right)
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