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Given the function $f(x) = x^4$

If you approximated $(4.2)^4$ by computing $4^4$, what approximate error does the differential indicate there would be between your approximate answer and the exact value?

What am I supposed to do in this problem?

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Use$ \Delta f = f\left(x+\Delta x\right) - f\left(x\right) \approx f'\left(x\right) \Delta x. $

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    Gerry was right. Next, you think more about what you have calculated.2012-10-31