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den301095 [7]
3 years ago
15

Find the derivative of the inverse function of the original function f(x)=(x+1)^3-5

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

Step-by-step explanation:

let f(x)=y

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} }

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