Misc 6 - Find derivative: 1 + 1/x / 1 - 1/x - Chapter 13 CBSE - Derivatives by formula - x^n formula

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  1. Chapter 13 Class 11 Limits and Derivatives
  2. Serial order wise

Transcript

Misc 6 Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): 1 + 1 1 1 Let f(x) = 1 + 1 1 1 = x + 1 x x 1 x = x + 1 x 1 = + 1 1 So, f(x) = + 1 1 f(x) = So, f (x) = = u v v u v 2 Now, u = x + 1 u = 1.x1 1 + 0 = 1.x0 = 1 v = x 1 v = 1.x1 1 0 = 1.x0 = 1 Now, f (x) = = 2 = 1 x 1 1 x + 1 x 1 2 = x 1 x 1 x 1 2 = 2 x 1 2 Hence, f (x) =

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