@@ Property / Symbols used @@
+derivative of $$f$$  with respect to  $$x$$
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank @@
+Normal rank
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$ 
\deriv{\NVar{f}}{\NVar{x}}
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+xml-id: C1.S4.E4.m2abdec
@@ Property / Symbols used @@
+hyperbolic secant function
@@ Property / Symbols used: hyperbolic secant function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic secant function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}$ 
\sech@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic secant function / qualifier @@
+xml-id: C4.S28.E6.m2adec
@@ Property / Symbols used @@
+hyperbolic tangent function
@@ Property / Symbols used: hyperbolic tangent function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic tangent function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\tanh\NVar{z}}}$ 
\tanh@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic tangent function / qualifier @@
+xml-id: C4.S28.E4.m2adec
@@ Property / Symbols used @@
+Q11217
@@ Property / Symbols used: Q11217 / rank @@
+Normal rank
@@ Property / Symbols used: Q11217 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11217 / qualifier @@
+xml-id: C4.S1.XMD8.m1bdec

DLMF:4.34.E3 (Q1863): Difference between revisions

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

sech ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}

tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 19:07, 1 January 2020

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${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$

${\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}$

${\displaystyle{\displaystyle\tanh\NVar{z}}}$

${\displaystyle{\displaystyle z}}$