Techniques of Differentiation - Chain Rule

Techniques of Differentiation - Chain Rule

Find the derivative of each of the following,

\(y = (7x^3 + x)^4\)
\(\mathrm{f}(x) = \frac{1}{\sqrt{3x^2 - 1}}\)
\(y = \frac{2}{(3 - \sqrt{x})^3}\)

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Answer:(a) \(4(21x^2+1)(7x^3+x)^3\) (b) \(-3x(3x^2-1)^{-3/2}\) (c) \(\frac{3}{(3-\sqrt{x})^4\sqrt{x}}\)

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