Find the derivative of each of the following with respect to $x$. $y = x^{10}$ \(y = \frac{1}{x^

Question

Find the derivative of each of the following with respect to $x$. $y = x^{10}$ $y = \frac{1}{x^{6}}$ $y = \sqrt[3]{x^{2}}$ $y = \frac{1}{\sqrt{x^{5}}}$

Accepted Answer

(i) $10x^9$ (ii) $-\dfrac{6}{x^7}$ (iii) $\dfrac{2}{3\sqrt[3]{x}}$ (iv) $-\dfrac{5}{2\sqrt{x^7}}$

Differentiation - Power Rule and Derivatives of Algebraic Functions

Differentiation - Power Rule and Derivatives of Algebraic Functions

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