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Differentiate the given function: f(x)=\frac{x}{(2x-5)^2}

Question:

Differentiate the given function: {eq}f(x)=\frac{x}{(2x-5)^2} {/eq}

Quotient Rule of Differentiation:

We are given a function defined by the ratio between two functions

{eq}\displaystyle f(x) = \frac{g(x) } { h(x) } {/eq}

The derivative of the function f found by means of the Quotient Rule of Differentiation:

{eq}\displaystyle f'(x) = \frac{g'(x)h(x) - g(x)h'(x) } { h^2(x) }. {/eq}

Answer and Explanation:

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The derivative of the funciton

{eq}\displaystyle f(x)=\frac{x}{(2x-5)^2} {/eq}

is calculated by means of the Quotient Rule of Differentiation

{eq}...

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