6bd6cb…: “Far from a frowning city”

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Worked Out Examples Problem Videos

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Practice Problems: Linear Approximations

1 :

Consider the function $f(x) = \sage {p1f1}$ . Use the point $x=\sage {p1anchor}$ to approximate the value of $f(\sage {p1target})$ .

$f(\sage {p1target}) \approx \answer {\sage {p1ans}}$

Recall that linear approximation is nothing more than an application of tangent lines. Find the line tangent to the function $\sage {p1f1}$ at the point $x=\sage {p1anchor}$ then evaluate that tangent line formula at $x=\sage {p1target}$ .