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\quad \mathbf{D}\left(\mathrm{x}^{5}\right)=5 \mathrm{x}^{4}, \quad \frac{\mathbf{d} \mathrm{x}^{2}}{\mathrm{dx}}=2 \mathrm{x}^{1}=2 \mathrm{x}, \frac{\mathbf{d} \mathrm{x}^{100}}{\mathrm{dx}}=100 \mathrm{x}^{99}, \frac{\mathbf{d} \mathrm{t}^{31}}{\mathrm{dt}}=31 \mathrm{t}^{30}