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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$-\frac{2}{5}\frac{d}{dx}\left(x-8\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y-2=-2/5(x-8). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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 (-8) is equal to zero. The derivative of the linear function is equal to 1.