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Use a linear approximation (or differentials) to estimate the given number.$ \sqrt [3]{1001} $
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Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 10
Linear Approximation and Differentials
Derivatives
Differentiation
Missouri State University
Harvey Mudd College
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.
07:53
Use a linear approximation…
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02:35
Use differentials to appro…
02:24
Use an appropriate local l…
02:47
we know that half of axes The cube root of ax Therefore, after prime of axe is 1/3. Remember the explain. It comes down to be the new coefficient times axe to the negative two divided by three, which is equivalent to X to the 1/3. Remember, we don't want any negative experiments over three acts. Cooking in 1002 the 1/3 over 3003 times 4000 gives us 10 over 3000 a one over 300. So now we have the cube root of 1001 is approximately 10 plus one over 300 which is equivalent to 300 Juan over 300.
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