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Problem 971

Find the derivative of: $\left.g(x)=x^{3} /\left[{ }^{2} \sqrt{(} 3 x^{2}-1\right)\right]$.

Expert verified

The derivative of \(g(x) = \frac{x^3}{2\sqrt{3x^2 - 1}}\) is \(g'(x) = \frac{3x^2 - 2x^3}{4(3x^2 - 1)}\).

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Chapter 52

Find the derivative of: \(\mathrm{f}(\mathrm{x})=\sqrt{\left(\mathrm{x}^{2}+1\right) \text { . }}\)

Chapter 52

Find the derivative of: $\mathrm{f}(\mathrm{x})=[(2 \mathrm{x}+1) /(3 \mathrm{x}-1)]^{4}$.

Chapter 52

Find the derivative of: \(\mathrm{y}=\mathrm{x}^{3 \mathrm{~b}}\).

Chapter 52

Find the sixth derivative of \(\mathrm{y}=\mathrm{x}^{6}\).

Chapter 52

Find the derivative of: \(\mathrm{f}(\mathrm{x})=\left(\mathrm{x}^{2}+1\right)(1-3 \mathrm{x})\).

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