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$\frac{d}{dx}\left(\left(4\sqrt{x^{3}}-2\sqrt{x}\right)^3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y=(4x^(3/2)+1*-2x^1/2)^3. Simplifying. 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 a function multiplied by a constant is equal to the constant times the derivative of the function.