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Numerade Educator

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Problem 16 Easy Difficulty

Differentiate.

$ y = \frac {1}{t^3 + 2t^2 - 1} $

Answer

$\frac{d y}{d t}=\frac{-t(3 t+4)}{\left[t^{3}+2 t^{2}-1\right]^{2}}$

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Video Transcript

he? It's Claire's. So when you're in here so I'm gonna take the derivative in terms of tea or one over T cute plus two teeth square plus minus one When we get negative. D over D t. Is he cute? Plus two T square minus one over T cute plus two key square minus one square When we get negative. Three T Square plus two times two T plus Cyril all over T cute plus two teeth square minus one square. We're getting negative. T times three T plus four over t cubed close to T square minus one square.