Find the derivative of each of the following with respect to $x$. $y = 3x^5 - x^7 + 8$ \(y = -\f

Question

Find the derivative of each of the following with respect to $x$. $y = 3x^5 - x^7 + 8$ $y = -\frac{1}{3x} + \frac{6}{7x^2} + \frac{\sqrt[3]{x}}{8}$ $y = 2x^3 + \frac{3}{\sqrt{x}} - \frac{5}{x^5}$ $y = -\sqrt{3}x^3 + 3\sqrt[3]{3x}$

Accepted Answer

(i) $15x^4-7x^6$ (ii) $\dfrac{1}{3x^2}-\dfrac{12}{7x^3}+\dfrac{1}{24\sqrt[3]{x^2}}$ (iii) $6x^2-\dfrac{3}{2\sqrt{x^3}}+\dfrac{25}{x^6}$ (iv) $-3\sqrt3x^2+\dfrac{\sqrt[3]{3}}{\sqrt[3]{x^2}}$

Differentiation - Power Rule and Derivatives of Algebraic Functions

Differentiation - Power Rule and Derivatives of Algebraic Functions

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