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