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$\frac{d}{dx}\left(4x^{8}-\frac{25}{2}x^{6}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 4x^2x^2x^2x^2-10x^2x^2x^2(-5x^2x^2)/2x^2. Simplifying. 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 (-\frac{25}{2}) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.