How do you find the instantaneous rate of change for $f(x)={x}^{3}+1$ for x=1

Callum Dudley
2022-07-10
Answered

How do you find the instantaneous rate of change for $f(x)={x}^{3}+1$ for x=1

You can still ask an expert for help

Charlee Gentry

Answered 2022-07-11
Author has **19** answers

The instantenous rate of change is equal to the derivative of your function evaluated at the particular x value:

${f}^{\prime}(x)=3{x}^{2}$

At x=1:

${f}^{\prime}(1)=3(1{)}^{2}=3$

${f}^{\prime}(x)=3{x}^{2}$

At x=1:

${f}^{\prime}(1)=3(1{)}^{2}=3$

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