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