No links please Q 5 If y=tan xtan xtan x, find dydx at x=π4 - Maths - Relations and Functions

Question

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Q 5 If y = tan   x tan   x tan   x , find d y d x
  a t   x = π 4

Lovina Kansal · Accepted Answer

Dear student
We have,y=tanxtanxtanxDifferentiate ot w r t x
, we getdydx=tanxtanxtanx×ddxlogtanxtanxtanx⇒dydx=tanxtanxtanx×ddxtan2x logtanx⇒dydx=tanxtanxtanxddxtan2x×logtanx+tan2x×ddxlog(tanx)⇒dydx=tanxtanxtanx2tanx sec2x×log(tanx)+tan2x×sec2xtanx⇒dydx=tanxtanxtanxtanx sec2x2log(tanx)+1⇒dydxπ4=tanπ4tanπ4tanπ4tanπ4 sec2π42log(tanπ4)+1⇒dydxπ4=11×222log1+1⇒dydxπ4=2
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No links please Q.5. If y = tan x tan x tan x , find d y d x a t x = π 4

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Q.5. If $y = {[{(\tan x)}^{\tan x}]}^{\tan x}$ , find $\frac{d y}{d x} a t x = \frac{π}{4}$