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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dy}\left(y\left(1+\frac{-y}{40}\right)\right)+\frac{d}{dy}\left(-10\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y(1+(-y)/40)-10. 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 (-10) is equal to zero. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the linear function is equal to 1.