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$\frac{d}{dx}\left(80+90\cos\left(\frac{\pi}{3}x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 80+90cos(pi/3x). Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (80) is equal to zero. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.