The gradient of the curve $y=\frac{2}{3}(ax-1)^n$ at the point \(\left(\frac{1}{3},\frac{2}{3}\rig

Question

The gradient of the curve $y=\frac{2}{3}(ax-1)^n$ at the point $\left(\frac{1}{3},\frac{2}{3}\right)$ is $20$. Find the values of constants $a$ and $n$.

Accepted Answer

$p^3 + q^3 = (p + q)(p^2 - pq + q^2)$ and $p^3 - q^3 = (p - q)(p^2 + pq + q^2)$

Techniques of Differentiation

Techniques of Differentiation

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