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Find an equation of the tangent line to the curve at the given point.$ y = \sqrt[4]{x} - x, (1,0) $
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00:57
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 1
Derivatives of Polynomials and Exponential Functions
Derivatives
Differentiation
Campbell University
Harvey Mudd College
University of Nottingham
Boston College
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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he had square. So when you read here, so we have why is equal to X to the 1/4 power minus acts. This can be rewritten as follows. So we're gonna different she using the power roll. So we have to you. By over D X is equal to 1/4 ex to the negative 34 It's minus one and using the slope of the tangent at 10 Do you I over D X is equal to negative three ports, and the equation of the tension is lie minus zero. It's equal to negative 3/4 times X minus one, which is equal to negative 3/4 x flus tree forts.
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