Use polynomial long division to evaluate the integral of \( \frac{x^4 + 6x^3 + 4x^2 + 8}{x^2 + 2} \) for integration.

Etividad Encontror lo derivada de la función \( f(x)=3 x^{2}-x \) en el punto de obciso \( x=0 \) raficor la función y la recto tangente que posa por el punto.

Find an equation of the tangent plane to the given parametric surface at the specifie point. \( \begin{array}{l}\text { (a) } r(u, v)=\left(u^{2}+1\right) \mathbf{i}+\left(v^{3}+1\right) \mathbf{j}+(u+v) \mathbf{k} .(5,2,3) \\ \text { (b) } r(u, v)=\sin u \mathbf{i}+\cos u \sin v \mathbf{j}+\sin v \mathbf{k},(0.5, \sqrt{3} / 4,0.5)\end{array} \)

Ex. \[ \text { Let } f(x)=13 x-6 . \text { Find } f^{\prime}(\mathbf{4}) \]

Find \( D_{x} y \) if \( y=\left(\frac{2}{x^{4}+1}+\frac{3}{x}\right) \)

\( \frac{d}{dx}(x^{2}+lnx-e^{3x)}) \)