# Recent questions tagged knots

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Determine $D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right)$
Determine $D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right)$Determine \ D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right) \ ...
Give the equations to determine the coefficients for $S_{i}(x)=a_{i}+b_{i}\left(x-x_{i}\right)+c_{i}\left(x-x_{i}\right)^{2}+d_{i}\left(x-x_{i}\right)^{3}$ for $i \in\{0,1,2, \ldots, n-1\}$Let $S(x)$ be the natural cubic spline over the interval $\leftx_{0}, x_{n}\right$ determined by the knots \$\left\{\left(x_{0}, y_{0}\right),\left(x ...