Find f'(x) given {eq}f(x) = (\frac{8x+3}{9x- 5})^\frac{1}{2} {/eq}.

Question:

Find f'(x) given {eq}f(x) = (\frac{8x+3}{9x- 5})^\frac{1}{2} {/eq}.

Chain Rule:

A chain rule is a tool for calculating the derivative of composite functions, which are functions that are created by combining multiple functions. Because it is used to take derivatives of functions by chaining their derivatives together, this rule is known as the chain rule.

Answer and Explanation: 1

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Given that: {eq}\displaystyle f(x) = {\left( {\frac{{8x + 3}}{{9x - 5}}} \right)^{\frac{1}{2}}} {/eq}

{eq}\displaystyle \eqalign{ & f(x) =...

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Quotient Rule: Formula & Examples

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Chapter 1 / Lesson 5
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What is the quotient rule? Read the definition of quotient rule and see the quotient rule formula, and practice applying it with some quotient rule examples.


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