Karol
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Homework Statement
Approximate ##~\sqrt[4]{17}~## by use of differential
Homework Equations
Differential: ##~dy=f(x)~dx##
The Attempt at a Solution
$$y=\sqrt[4]{x},~~dy=\frac{1}{4}x^{-3/4}=\frac{1}{4\sqrt[4]{x^3}}$$
$$\sqrt[4]{16}=2,~~dx=1,~~dy=\frac{1}{4\sqrt[4]{x^2}}\cdot 1=0.149$$
$$\sqrt[4]{17}=2.031$$
The error is too big