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The quotient rule states that the derivative of h(x) is ′ = ′ () ′ (()). It is provable in many ways by using other derivative rules.
Learn how to apply the quotient rule to find the derivative of a function expressed as a quotient. Watch the video, see examples, and read the comments and questions from other learners.
21 Δεκ 2020 · Find the derivative of \( \sqrt{625-x^2}/\sqrt{x}\) in two ways: using the quotient rule, and using the product rule. Solution. Quotient rule: \[{d\over dx}{\sqrt{625-x^2}\over\sqrt{x}} = {\sqrt{x}(-x/\sqrt{625-x^2})-\sqrt{625-x^2}\cdot 1/(2\sqrt{x})\over x}.\] Note that we have used \( \sqrt{x}=x^{1/2}\) to compute the derivative of \( \sqrt{x ...
Learn how to differentiate expressions that are the quotient of two other functions using the Quotient rule. See examples, problems, video and tips on how to apply the rule and simplify the answers.
Learn how to use the quotient rule to find the derivative of the quotient of two functions. See examples of applying the quotient rule alone or with other rules, such as the product rule and the chain rule.
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This session develops a formula for the derivative of a quotient. We use this to find the derivative of the multiplicative inverse of a function and so of x^{-n}. Lecture Video and Notes
