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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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$\frac{d}{dt}\left(\frac{r^2}{100}\right)+\frac{d}{dt}\left(\frac{-t^2}{49}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (r^2)/100+(-t^2)/49. 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{1}{100}) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (\frac{1}{49}) is equal to the constant times the derivative of the function. Divide 1 by 100.