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The derivative of a function multiplied by a constant ($\frac{1}{7}$) is equal to the constant times the derivative of the function
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$\frac{1}{7}\frac{d}{dt}\left(8-9t\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (3t-7)/8=(8-9t)/7. The derivative of a function multiplied by a constant (\frac{1}{7}) is equal to the constant times the derivative of the function. Divide 1 by 7. 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.