Recall that the derivative of tan x is sec^2x y'=((6-tan x)*(__)-5x(___))/(6-tan x)^2

Tessa Peters

Tessa Peters

Answered question

2022-10-14

Recall that the derivative of tan  is  sec 2 x
y = ( 6 tan x ) ( ) 5 x ( ) ( 6 tan x ) 2

Answer & Explanation

Hilfeform5c

Hilfeform5c

Beginner2022-10-15Added 14 answers

y = v ( u u ( v ) ) ( v ) 2
tan  is  sec 2 x
y = ( 6 tan x ) ( ) 5 x ( ) ( 6 tan x ) 2
So, u = 5 x ;   v = 6 tan x u = 5 ;   v = sec 2 x
So, y ( 6 tan x ) ( 5 5 x ( s e c 2 x ) ) ( 6 tan x ) 2 = 30 5 tan x + 5 x sec 2 x ( 6 tan x ) 2

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