Differentiate each of the following with respect to $x$. $y = (x^{2} + 1)^{10}$ \(y = \frac{6}{(

Question

Differentiate each of the following with respect to $x$. $y = (x^{2} + 1)^{10}$ $y = \frac{6}{(x^{4} + x)^{3}}$ $y = \frac{1}{\sqrt{3x^{2} + 2}}$ $y = \frac{3}{(2 + \sqrt{x})^{3}}$

Accepted Answer

(i) $20x(x^2+1)^9$ (ii) $-\dfrac{18(4x^3+1)}{(x^4+x)^4}$ (iii) $-\dfrac{3x}{(3x^2+2)^{3/2}}$ (iv) $-\dfrac{9}{2\sqrt{x}(2+\sqrt{x})^4}$

Techniques of Differentiation - Chain Rule

Techniques of Differentiation - Chain Rule

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