Math, asked by karthikeyaG, 11 months ago

d/dx of log |sec x + tanx |

Answers

Answered by priyanshu8348
1
d/dx [log(sec x + tan x)]
= 1/secx+tanx . d/dx(secx+tanx)
= sec x .tan x + sec^2 x / secx + tanx
= sec x ( tanx + secx)/ tanx + secx
= Sec x
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Answered by aman190k
1
&lt;b&gt;●•••••••☆Hello User☆•••••••●<br />《《Here is your answer》》<br />&lt;hr size = 3 width = 300 color = #000000 &gt;&lt;font color = green&gt;<br />‍‌‌‌ <br />= d / dx log( |sec x + tan x | )&lt;br&gt; &lt;br&gt;= d log( |sec x + tan x | ) / d | sec x + tan x | × d |sec x + tan x | / dx &lt;br&gt;&lt;br&gt; = 1 / | sec x + tan x | × (sec x.tan x + sec&lt;sup&gt;2&lt;/sup&gt;x) &lt;br&gt;&lt;br&gt;= sec x (sec x + tan x) / | sec x + tan x | &lt;br&gt;&lt;br&gt; = sec x<br /><br />&lt;/font&gt;<br />&lt;hr size = 3 width = 300 color = #000000 &gt;<br />●•••••••☆Brainly Star☆•••••••●&lt;/b&gt;&lt;br&gt;<br /><br />&lt;b&gt;॥ॐ 卐 ☪ ✝ ॥&lt;/b&gt;
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