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Pochodna funkcji ln3*3^x

$f\left(x\right) =$	$\ln\left(3\right){\cdot}{3}^{x}$
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\ln\left(3\right){\cdot}{3}^{x}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{\ln\left(3\right){\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({3}^{x}\right)}}}}$ $=\ln\left(3\right){\cdot}\class{steps-node}{\cssId{steps-node-4}{\ln\left(3\right)}}{\cdot}\class{steps-node}{\cssId{steps-node-5}{{3}^{x}}}$ $={\left(\ln\left(3\right)\right)}^{2}{\cdot}{3}^{x}$

$f\left(x\right) =$

$\ln\left(3\right){\cdot}{3}^{x}$

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

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\ln\left(3\right){\cdot}{3}^{x}\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{\ln\left(3\right){\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left({3}^{x}\right)}}}}$

$=\ln\left(3\right){\cdot}\class{steps-node}{\cssId{steps-node-4}{\ln\left(3\right)}}{\cdot}\class{steps-node}{\cssId{steps-node-5}{{3}^{x}}}$

$={\left(\ln\left(3\right)\right)}^{2}{\cdot}{3}^{x}$