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Prove that $ \frac {d}{dx}$ (csc $ x $ ) = - csc $ x $ cot $ x. $
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00:39
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 3
Derivatives of Trigonometric Functions
Derivatives
Differentiation
Campbell University
Oregon State University
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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Hey, it's clear. So when you reign here, So our first steps gonna be taking the derivative of coast seeking, which is one over sign and we're gonna use the quotient role, Which gives us sign times zero minus one times co sign all over Sign square. This gives us negative co sign over a sign square, and this is negative. One over. Sign Times Co sign over a sign which gives us negative co secret tons co tangent.
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