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Find the linearization $L(x)$ of the function at $a$$$f(x)=\sqrt{x}, \quad a=4$$
$L(x)=\frac{1}{4} x+1$
Calculus 1 / AB
Chapter 2
DERIVATIVES
Section 8
Linear Approximations and Differentials
Derivatives
Differentiation
Applications of the Derivative
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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in this question. We want to figure out of memorization at X equals toe A. So we used a slope going from why minus safe off a equals to have prime of a times X minus a And in this case, we need to figure out what safe off a first safe are very close to our little fourth B two and the in order to figure out if prime thing, we need to figure out what's a curative first. So dirty, because the one have times extreme minus 1/2 which is 1/2 times with of X. So at X equals toe A, which is for so that you're a TV close to 1/2 times two settle wonderful with the first in line and then a second. And then the last night here, the sir point from gives us an attention line. Why minus two Yukos to one or four ex miners for also in your oppositions given by, um, won over four x so minus one. Presto! We just moved this minus two to the dollar aside, I'll say it's one or four. Press one for express one
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