Difference between revisions of "Derivative of tangent"

From specialfunctionswiki
Jump to: navigation, search
Line 1: Line 1:
 
<div class="toccolours mw-collapsible mw-collapsed">
 
<div class="toccolours mw-collapsible mw-collapsed">
<strong>[[Derivative of tangent|Proposition]]:</strong> $\dfrac{d}{dx}$[[Tangent|$\tan$]]$(x)=$[[Secant|$\sec$]]$^2(x)$
+
<strong>[[Derivative of tangent|Proposition]]:</strong> The following formula holds:
 +
$$\dfrac{\mathrm{d}}{\mathrm{d}z} \tan(z) = \sec^2(z),$$
 +
where $\tan$ denotes the [[tangent]] function and $\sec$ denotes the [[secant]] function.
 
<div class="mw-collapsible-content">
 
<div class="mw-collapsible-content">
 
<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  
 
</div>
 
</div>
 
</div>
 
</div>

Revision as of 03:18, 8 February 2016

Proposition: The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \tan(z) = \sec^2(z),$$ where $\tan$ denotes the tangent function and $\sec$ denotes the secant function.

Proof: