# Evaluating derivatives

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Â© BrainMass Inc. brainmass.com December 24, 2021, 5:01 pm ad1c9bdddfhttps://brainmass.com/math/derivatives/evaluating-derivatives-22057

## SOLUTION This solution is **FREE** courtesy of BrainMass!

<br>we Have,

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<br>S = 2300*(5t + 1)/(2t + 5}

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<br>Taking the derivative with respect to t,

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<br>dS/dt = (11500)/(5 + 2t) - [4600 *(1 + 5t)](5+ 2t)^2

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<br>

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<br>Now substituting t = 9, we get,

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<br>dS/dt = (11500)/(5 + 2*9) - [4600 *(1 + 5*9)](5+ 2*9)^2

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<br>dS/dt = 100

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<br>hence answer is d

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https://brainmass.com/math/derivatives/evaluating-derivatives-22057