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Problem 970

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

Expert verified

The short answer for the derivative of \(f(x) = \frac{x^2 + 1}{1 - 3x}\) is \(f'(x) = \frac{-3x^2 + 2x + 3}{(1 - 3x)^2}\).

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Chapter 52

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

Chapter 52

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

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 derivative of: $\mathrm{y}=\left(2 \mathrm{x}^{3}-5 \mathrm{x}^{2}+4\right)^{5}$.

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