Miscellaneous (Term 1 and Term 2)
Misc 1 (ii) Important
Misc 1 (iii)
Misc 1 (iv) Important
Misc 2
Misc 3 Important
Misc 4 Important
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Misc 10
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Misc 12 Important
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Misc 14 Important
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Miscellaneous (Term 1 and Term 2)
Last updated at Sept. 6, 2021 by Teachoo
Misc 1 Find the derivative of the following functions from first principle: –x Let f (x) = – x We need to find derivative of f(x) i.e. f’ (x) We know that f’(x) = lim┬(h→0) 𝑓〖(𝑥 + ℎ) − 𝑓(𝑥)〗/ℎ Here, f (x) = – x So, f (x + h) = – (x + h) Putting values f’ (x) = lim┬(h→0)〖((−(x + h)) − (−x))/h〗 = lim┬(h→0)〖(−𝑥 − ℎ + 𝑥)/h〗 = lim┬(h→0)〖(−ℎ)/h〗 = lim┬(h→0)〖(−1)〗 = –1 Hence, f’(x) = – 1