For $f(x)=x^2+2x$, estimate the instantaneous rate of change at $x=2$ using the gradient be

Question

For $f(x)=x^2+2x$, estimate the instantaneous rate of change at $x=2$ using the gradient between $x=2$ and $x=2.1$. Then find the exact instantaneous rate using the gradient function.[4]

Accepted Answer

Estimated instantaneous rate $=6.1$; Exact instantaneous rate at $x=2$ is $6$.

Functions and Graphs

Functions and Graphs

Solution:

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