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mathmlben

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Visualization for goldstandard

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<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="StartFraction d Over d x EndFraction left-parenthesis log Subscript c Baseline x right-parenthesis equals StartFraction 1 Over x ln c EndFraction comma c greater-than 0 comma c not-equals 1"> <semantics> <mrow data-semantic-type="punctuated" data-semantic-role="sequence" data-semantic-id="40" data-semantic-children="37,27,38,31,39" data-semantic-content="27,31"> <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="37" data-semantic-children="36,26" data-semantic-content="16" data-semantic-parent="40"> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="36" data-semantic-children="5,15" data-semantic-content="35" data-semantic-parent="37"> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="5" data-semantic-children="0,4" data-semantic-parent="36"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="5">d</mi> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="4" data-semantic-children="1,2" data-semantic-content="3" data-semantic-parent="5"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="1" data-semantic-parent="4">d</mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="3" data-semantic-parent="4" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="4">x</mi> </mrow> </mfrac> </mrow> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="35" data-semantic-parent="36" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="15" data-semantic-children="13" data-semantic-content="6,14" data-semantic-parent="36"> <mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="6" data-semantic-parent="15" data-semantic-operator="fenced">(</mo> <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="13" data-semantic-children="9,11" data-semantic-content="12,7" data-semantic-parent="15"> <msub data-semantic-type="subscript" data-semantic-role="prefix function" data-semantic-id="9" data-semantic-children="7,8" data-semantic-parent="13"> <mi data-semantic-type="function" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="7" data-semantic-parent="9" data-semantic-operator="appl">log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="8" data-semantic-parent="9">c</mi> </mrow> </msub> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="12" data-semantic-parent="13" data-semantic-added="true" data-semantic-operator="appl"></mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="11" data-semantic-parent="13">x</mi> </mrow> <mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="14" data-semantic-parent="15" data-semantic-operator="fenced">)</mo> </mrow> </mrow> <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="16" data-semantic-parent="37" data-semantic-operator="relseq,=">=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="26" data-semantic-children="17,25" data-semantic-parent="37"> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="17" data-semantic-parent="26">1</mn> <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="25" data-semantic-children="18,23" data-semantic-content="24" data-semantic-parent="26"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="18" data-semantic-parent="25">x</mi> <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="24" data-semantic-parent="25" data-semantic-added="true" data-semantic-operator="infixop,⁢"></mo> <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="23" data-semantic-children="19,21" data-semantic-content="22,19" data-semantic-parent="25"> <mi data-semantic-type="function" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="19" data-semantic-parent="23" data-semantic-operator="appl">ln</mi> <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="22" data-semantic-parent="23" data-semantic-added="true" data-semantic-operator="appl"></mo> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="21" data-semantic-parent="23">c</mi> </mrow> </mrow> </mfrac> </mrow> </mrow> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="27" data-semantic-parent="40" data-semantic-operator="punctuated">,</mo> <mspace width="2em"/> <mrow data-semantic-type="relseq" data-semantic-role="inequality" data-semantic-id="38" data-semantic-children="28,30" data-semantic-content="29" data-semantic-parent="40"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="28" data-semantic-parent="38">c</mi> <mo data-semantic-type="relation" data-semantic-role="inequality" data-semantic-id="29" data-semantic-parent="38" data-semantic-operator="relseq,>">></mo> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="30" data-semantic-parent="38">0</mn> </mrow> <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="31" data-semantic-parent="40" data-semantic-operator="punctuated">,</mo> <mrow data-semantic-type="relseq" data-semantic-role="inequality" data-semantic-id="39" data-semantic-children="32,34" data-semantic-content="33" data-semantic-parent="40"> <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="32" data-semantic-parent="39">c</mi> <mo data-semantic-type="relation" data-semantic-role="inequality" data-semantic-id="33" data-semantic-parent="39" data-semantic-operator="relseq,≠"><!-- ≠ --> </mo> <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="34" data-semantic-parent="39">1</mn> </mrow> </mrow> <annotation encoding="application/x-tex">{\frac {d}{dx}}\left(\log _{c}x\right)={1 \over x\ln c},\qquad c>0,c\neq 1</annotation> </semantics> </math>