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Ex 12.2, 2 - Chapter 12 Class 11 Limits and Derivatives
Last updated at May 29, 2023 by Teachoo
Ex 12.2
Ex 12.2, 1
Ex 12.2, 2 You are here
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Ex 12.2, 4 (i) Important
Ex 12.2, 4 (ii)
Ex 12.2, 4 (iii) Important
Ex 12.2, 4 (iv)
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Ex 12.2, 7 (i) Important
Ex 12.2, 7 (ii)
Ex 12.2, 7 (iii) Important
Ex 12.2, 8
Ex 12.2, 9 (i)
Ex 12.2, 9 (ii) Important
Ex 12.2, 9 (iii)
Ex 12.2, 9 (iv) Important
Ex 12.2, 9 (v)
Ex 12.2, 9 (vi)
Ex 12.2, 10 Important
Ex 12.2, 11 (i)
Ex 12.2, 11 (ii) Important
Ex 12.2, 11 (iii) Important
Ex 12.2, 11 (iv)
Ex 12.2, 11 (v) Important
Ex 12.2, 11 (vi)
Ex 12.2, 11 (vii) Important
Transcript
Ex 12.2, 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
