#Calculating Derivatives of Inverse Functions

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severe egret
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HI, I want to get through this exercise so I can prepare for my final exam.
Need to use dx/dy x dy/dx =1

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hexed edge
# severe egret HI, I want to get through this exercise so I can prepare for my final exam. Need...

$(f^{-1}(x))'=\frac{1}{f'(f^{-1}(x))}$\
from this, on question 2:\
part a, we have that $(\ln(x))'=\frac{1}{e^{\ln(x)}}=\boxed{\frac1x}$.\
part b, we have that $(e^x)'=\frac{1}{\frac{1}{e^x}}=\boxed{e^x}$.\
part c, we have that $(x^2)'=\frac{1}{\frac{1}{2\sqrt{x^2}}}=\boxed{2x}$.\
part d, we have that $(\sqrt[7]{x+1})'=\boxed{\frac{1}{7(\sqrt[7]{x+1})^6}}$.\
part e, we have $(\sqrt[3]{x}-2)'=\frac{1}{3(\sqrt[3]{x}-2+2)^2}=\frac{1}{3x^{\frac23}}$.
try to continue the rest given this

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amber wraith
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?tag helping

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?tag help

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?tag get-help

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@severe egret

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severe egret
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thank you , +close

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+close

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# severe egret +close
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