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Find the linearization $ L(x) $ of the function at $ a. $$ f(x) = \sqrt x, a = 4 $
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Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 10
Linear Approximation and Differentials
Derivatives
Differentiation
Oregon State University
Baylor University
University of Michigan - Ann Arbor
Idaho State University
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
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if f of X escort of X then after four equals the skirt of four, which is to therefore f prime of four. F Prime of X is one over to squirt of acts that it's one of her too squared before, which gives us 1/4 glue. The linear realization is gonna be two plus 14 times x minus for which is gonna be 1/4 x plus one.
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