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Pochodna funkcji (x^2+3x-2)^17

$f\left(x\right) =$	${\left({x}^{2}+3x-2\right)}^{17}$
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({\left({x}^{2}+3x-2\right)}^{17}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{17}}{\cdot}\class{steps-node}{\cssId{steps-node-3}{{\left({x}^{2}+3x-2\right)}^{16}}}{\cdot}\class{steps-node}{\cssId{steps-node-4}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({x}^{2}+3x-2\right)}}$ $=17{\cdot}\class{steps-node}{\cssId{steps-node-5}{\left(\class{steps-node}{\cssId{steps-node-6}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({x}^{2}\right)}}+3\right)}}{\cdot}{\left({x}^{2}+3x-2\right)}^{16}$ $=17{\cdot}\left(\class{steps-node}{\cssId{steps-node-7}{2}}\class{steps-node}{\cssId{steps-node-8}{x}}+3\right){\cdot}{\left({x}^{2}+3x-2\right)}^{16}$

$f\left(x\right) =$

${\left({x}^{2}+3x-2\right)}^{17}$

$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({\left({x}^{2}+3x-2\right)}^{17}\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{17}}{\cdot}\class{steps-node}{\cssId{steps-node-3}{{\left({x}^{2}+3x-2\right)}^{16}}}{\cdot}\class{steps-node}{\cssId{steps-node-4}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({x}^{2}+3x-2\right)}}$

$=17{\cdot}\class{steps-node}{\cssId{steps-node-5}{\left(\class{steps-node}{\cssId{steps-node-6}{\tfrac{\mathbf{d}}{\mathbf{d}\boldsymbol{x}}\kern-.25em\left({x}^{2}\right)}}+3\right)}}{\cdot}{\left({x}^{2}+3x-2\right)}^{16}$

$=17{\cdot}\left(\class{steps-node}{\cssId{steps-node-7}{2}}\class{steps-node}{\cssId{steps-node-8}{x}}+3\right){\cdot}{\left({x}^{2}+3x-2\right)}^{16}$