Math, asked by tushar1224, 9 months ago

please answer this one
need step by step solution​

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Answered by knjroopa
0

Step-by-step explanation:

  • Given We need to find differential coefficient of sec(tan^-1 x)
  • Now d/dx(sec x) = sec x tan x
  • Also d / dx (tan^-1 x) = 1 / 1 + x^2
  • Now let tan^-1 x = r
  • So dy / dx = d/dx (sec r)x.dr / dx (since chain rule)
  • So sec r tan r x d/dx (tan^-1 x)
  • So sec r tan r x 1 / 1 + x^2 ---------------1
  • Now sec^2 r = 1 + tan^2 r
  •    So sec r = √1 + x^2
  • Substituting this value in 1 we get
  • √1 + x^2 x x 1 / (√1 + x^2)^2
  •  = x / √1 + x^2

Reference link will be

https://brainly.in/question/9491841

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