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Problem 10

Find the derivative of each function. \(f(t)=\left(3 t^{2}-2 t+1\right)^{3 / 2}\)

Expert verified

The derivative of the given function is: \[\frac{d}{dt}[(3t^2 - 2t + 1)^{\frac{3}{2}}] = \left(\frac{3}{2}(3t^2 - 2t + 1)^{\frac{1}{2}}\right)(6t - 2).\]

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