Suppose that $f(x)$ is a function with $f(130)=46$ and $f′(130)=1$. Estimate $f(125.5)$.
I looked at the problem multiple times, but I am still stumped!
Suppose that $f(x)$ is a function with $f(130)=46$ and $f′(130)=1$. Estimate $f(125.5)$.
I looked at the problem multiple times, but I am still stumped!
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Use $f(x)\approx f(130)+(x-130)f'(130)$.
(The tangent line will have slope $f'(130)$ and contain the point $(130,f(130)$.)