maratexas4 maratexas4

02-12-2019
Mathematics

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Find the derivative of the inverse function of the original function f(x)=(x+1)^3-5
X greater than or equal to 0

Find the derivative of the inverse function of the original function fxx135 X greater than or equal to 0 class=

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surjithayer10otahza surjithayer10otahza

11-12-2019

Answer:

Step-by-step explanation:

let f(x)=y

[tex]y=(x+1)^{3} -5\\flip ~x~and~y\\x=(y+1)^{3}-5\\(y+1)^{3}=x+5\\y=(x+5)^{\frac{1}{3} } -1\\or~f^{-1}(x)=(x+5)^{\frac{1}{3} } -1\\(f^{-1})'(x)=\frac{1}{3} (x+5)^{\frac{-2}{3} }[/tex]

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