Differentiation - Power Rule and Derivatives of Algebraic Functions

Differentiation - Power Rule and Derivatives of Algebraic Functions

Find the derivative of each of the following,

\(y = 7x^{11}\)
\(y = 2\sqrt[3]{x}\)
\(\mathrm{f}(x) = -\frac{10\sqrt{x}}{x^3}\)

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Answer:(a) \(77x^{10}\) (b) \(\frac{2}{3}x^{-\frac{2}{3}}\) (c) \(25x^{-\frac{7}{2}}\)

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