#sensitivity

You minimize $f(\mathbf{x}) = \frac{1}{2}\mathbf{x}^\top\mathbf{Q}\mathbf{x} + \mathbf{c}^\top\mathbf{x}$, where $\mathbf{Q}$ is symmetric with eigenvalues 4 and 0.01. The vector $\mathbf{c}$ is perturbed by $\boldsymbol{\delta}$ with $\lVert\boldsymbol{\delta}\rVert_2 = 0.01$. What is the largest possible change $\lVert\Delta\mathbf{x}^*\rVert_2$ of the minimizer $\mathbf{x}^* = -\mathbf{Q}^{-1}\mathbf{c}$?