4. The function f(x) = ex +x, being differentiable and one-to-one, has a differentiable inverse f-1(x). Find the value of df-1/dx at the point f(In 2).

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Chia Chung

詳解 #5970832

2023/11/21

<Solution> Let...

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5. A passenger ship and an oil tanker left port sometime in the morning; the former headed north, and the latter headed east. At noon, the passenger ship was 40 miles from port and sailing at 30 mph, while the oil tanker was 30 miles from the port and sailing at 20 mph. How fast was the distance between the two ships changing at that time?

4. The function f(x) = e^x +x, being differentiable and one-to-one, has a differentiable inverse f^-1(x). Find the value of df^-1/dx at the point f(In 2).

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