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The power of a product is equal to the product of it's factors raised to the same power
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$\frac{d}{dx}\left(\frac{5x^2}{\sqrt{2}\sqrt{x}}\right)$
Learn how to solve problems step by step online. Find the derivative of (5x^2)/((2x)^1/2). The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction \frac{5x^2}{\sqrt{2}\sqrt{x}} by x. Take \frac{5}{\sqrt{2}} out of the fraction. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.