Ex 13.2, 2 - Chapter 13 Class 11 Limits and Derivatives
Last updated at Nov. 30, 2019 by Teachoo
Last updated at Nov. 30, 2019 by Teachoo
Transcript
Ex 13.2, 2 Find the derivative of x at x = 1. Let f (x) = x We need to find derivative of f(x) at x = 1 i.e. fβ (1) We know that fβ (x) = (πππ)β¬(ββ0)β‘γ(π(π₯ + β) β π (π₯))/βγ Here, f(x) = x So, f(x + h) = x + h Putting values fβ (x) = limβ¬(hβ0)β‘γ((π₯ + β) β π₯)/βγ = limβ¬(hβ0)β‘γ(π₯ + β β π₯)/βγ = limβ¬(hβ0)β‘γβ/βγ = limβ¬(hβ0) 1 = 1 Hence, fβ(x) = 1 Putting x = 1 fβ(1) = 1 So, derivative of x at x = 1 is 1
Derivatives by 1st principle - At a point
Derivatives by 1st principle - At a point
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