# Lipschitz constant.

Find the Lipschitz constant. $$g(t,u)=10t^{2}\exp(-3u^3)$$ where $$|(t)|\leq2$$ and $$|u|\leq1$$

The function $$g(t,u)$$ is continuous over the Domain. So it satisfies the Lipschitz condtion. For Lipschitz constant: $$\frac{\partial{g}}{\partial t}=-120t^2u^2\exp(-3u^3)$$ It will have the maximum value at $$u=-1$$ and $$t=2$$ . so $$-120t^2u^2\exp(-3u^3)=-120\exp(1)$$ Is it correct?