Find the derivative of each of the following functions with respect to $x$. \(f(x) = \frac{x - 3}{

Question

Find the derivative of each of the following functions with respect to $x$. $f(x) = \frac{x - 3}{4 - 2x}$ $f(x) = \frac{3x + 1}{1 - 3x}$ $f(x) = \frac{x^2}{(2x - 1)^{\frac{1}{3}}}$ $f(x) = \frac{\sqrt{3}x + 1}{3x^2 - 1}$

Accepted Answer

(i) $-\dfrac{2}{(4-2x)^2}$ (ii) $\dfrac{6}{(1-3x)^2}$ (iii) $\dfrac{10x^2-6x}{3(2x-1)^{4/3}}$ (iv) $-\dfrac{\sqrt3(3x^2+1)+6x}{(3x^2-1)^2}$

Techniques of Differentiation - Quotient Rule

Techniques of Differentiation - Quotient Rule

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