Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month
Ex 13.2, 9 (v) - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at Aug. 28, 2021 by Teachoo
Ex 13.2
Ex 13.2, 1
Ex 13.2, 2
Ex 13.2, 3
Ex 13.2, 4 (i) Important
Ex 13.2, 4 (ii)
Ex 13.2, 4 (iii) Important
Ex 13.2, 4 (iv)
Ex 13.2, 5
Ex 13.2, 6
Ex 13.2, 7 (i) Important
Ex 13.2, 7 (ii)
Ex 13.2, 7 (iii) Important
Ex 13.2, 8
Ex 13.2, 9 (i)
Ex 13.2, 9 (ii) Important
Ex 13.2, 9 (iii)
Ex 13.2, 9 (iv) Important
Ex 13.2, 9 (v) You are here
Ex 13.2, 9 (vi)
Ex 13.2, 10 Important
Ex 13.2, 11 (i)
Ex 13.2, 11 (ii) Important
Ex 13.2, 11 (iii) Important
Ex 13.2, 11 (iv)
Ex 13.2, 11 (v) Important
Ex 13.2, 11 (vi)
Ex 13.2, 11 (vii) Important
Transcript
Ex 13.2, 9 Find the derivative of (v) f (x) = x–4 (3 – 4x–5) Let f(x) = x–4 (3 – 4x –5) = 3x–4 – 4x–5 × x–4 = 3x–4 – 4x–5 + (–4) = 3x–4 – 4x–9 Differentiating w.r.t. x f’(x) = (3x–4 – 4x–9)’ = (3(−4𝑥^(−4 − 1) )−4(−9𝑥^(−9−1) ) = (3(−4𝑥^(−5) )−4(−9𝑥^(−10) ) = −12𝑥^(−5)+36𝑥^(−10) = (−12)/𝑥^5 + 36/𝑥^10 Hence f’(x) = (−𝟏𝟐)/𝒙^𝟓 + 𝟑𝟔/𝒙^𝟏𝟎
