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sol_differentiation_inverse_2

sol_differentiation_inverse_2 - C 1"1 l 5)= f ex...

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Free From www.analyzemath.com Calculus Worksheet: Questions on Differentiation ofInverse Functions (2) Question 1: If 1(0) = -3 and /(0) = 6, find (f-l)'(-3). 6-) f-\fJ) -0 - , ~ - ~ '(((31) Question 2: I is a function given by I(x) = sin(x)+x, _;rr ::; x::; ;rr 2 2- 1. Show that I is a one to one function 2. Find (f-l)' (0) ~t(i) - =)
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Ouestion 3: Let (f-l)'(X) = 2x, x 2': o and j-l(2) = 3, find f'(x). ~) r~)" ~ u -r (x) ,d X ~ J 1-1 l.2.) -=- (1\ L T \<- -:: ?J \2.-~ 3- 4::: -\. 1 r I ) ~ _ 'j ()< - ,,2J X +\.
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Unformatted text preview: C / 1 ()"1 l 5)= f ex ) ~ (J--"-J>' f-I ' . -) 1 ~ ~~ Cf-\)' (1<) :::--f'U'I(;'») ~ {'(xt-I) , \ !:::" r I (i L -()-=---~<----y----) 1 r:;;t L _" y--L ::: IrJ +-I ~ X -::: J IN T' \eJ-W:::. x--==- '- '-' _:~ ~-,-.--:=::) ~1' (W ):: ;<.' J w~ ~ More examples at I -) www.analvzath.eom/ealeulus/Differentiatiorl/inversetriaonometrie.htm I...
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