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Ex 12.2, 9 (v) - Chapter 12 Class 11 Limits and Derivatives

Last updated at May 29, 2023 by

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Ex 12.2, 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

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