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** Step-by-step Solution **

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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Simplify the derivative by applying the properties of logarithms

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$\frac{d}{dx}\left(\sqrt{5x-6x^2}\right)$

Learn how to solve problems step by step online. Find the derivative of (5x-6xx)^(1/2). Simplify the derivative by applying the properties of logarithms. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant.

** Final answer to the problem

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