Find the derivative of each of the following, $y = x^3$ $y = \frac{1}{x^7}$ \(y = \frac{1}{\sqrt

Question

Find the derivative of each of the following, $y = x^3$ $y = \frac{1}{x^7}$ $y = \frac{1}{\sqrt{x}}$ $y = \frac{x}{\sqrt[3]{x^5}}$

Accepted Answer

(a) $3x^2$ (b) $-7x^{-8}$ (c) $-\frac{1}{2}x^{-\frac{3}{2}}$ (d) $-\frac{2}{3}x^{-\frac{5}{3}}$

Differentiation - Differentiation of Trigonometric, Logarithmic and Exponential Functions - General