Differentiate $\frac{5x^2 + 3}{10x^2 - 6}$ with respect to $x$.[2] Differentiate \(\left( \frac{

Question

Differentiate $\frac{5x^2 + 3}{10x^2 - 6}$ with respect to $x$.[2] Differentiate $\left( \frac{5x^2 + 3}{10x^2 - 6} \right)^4$ with respect to $x$, leaving your answer in the form $\frac{kx(5x^2 + 3)^m}{(5x^2 - 3)^n}$ where $k$, $m$ and $n$ are constants.[2]

Accepted Answer

(i) $-\frac{30x}{(5x^2-3)^2}$. (ii) $-\frac{15x(5x^2+3)^3}{(5x^2-3)^5}$, so $k=-15$, $m=3$, $n=5$.

XHS 2022 4Express AM MYE

XHS 2022 4Express AM MYE

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