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Pochodna funkcji log(8,x^2)

$f\left(x\right) =$	$\dfrac{2{\cdot}\ln\left(x\right)}{\ln\left(8\right)}$ Note: Your input has been rewritten/simplified.
$\dfrac{\mathrm{d}\left(f\left(x\right)\right)}{\mathrm{d}x} =$	$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\dfrac{2{\cdot}\ln\left(x\right)}{\ln\left(8\right)}\right)}}$ $=\class{steps-node}{\cssId{steps-node-2}{\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\ln\left(x\right)\right)}}}{\ln\left(8\right)}}}$ $=\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-4}{\dfrac{1}{x}}}}{\ln\left(8\right)}$ $=\dfrac{2}{\ln\left(8\right){\cdot}x}$

$f\left(x\right) =$

$\dfrac{2{\cdot}\ln\left(x\right)}{\ln\left(8\right)}$

Note: Your input has been rewritten/simplified.

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

$\class{steps-node}{\cssId{steps-node-1}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\dfrac{2{\cdot}\ln\left(x\right)}{\ln\left(8\right)}\right)}}$

$=\class{steps-node}{\cssId{steps-node-2}{\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-3}{\tfrac{\mathrm{d}}{\mathrm{d}x}\kern-.25em\left(\ln\left(x\right)\right)}}}{\ln\left(8\right)}}}$

$=\dfrac{2{\cdot}\class{steps-node}{\cssId{steps-node-4}{\dfrac{1}{x}}}}{\ln\left(8\right)}$

$=\dfrac{2}{\ln\left(8\right){\cdot}x}$