Final Answer
$\frac{5-12x}{2\sqrt{5x-6x^2}}$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(\sqrt{5x-6x\cdot x}\right)$
Specify the solving method
1
Simplify the derivative by applying the properties of logarithms
$\frac{d}{dx}\left(\sqrt{5x-6x^2}\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\sqrt{5x-6x^2}\right)$
Learn how to solve differential calculus 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
$\frac{5-12x}{2\sqrt{5x-6x^2}}$