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

$a=6$, $n=5$

Applications of Differentiation - Derivative as the Gradient of a Curve

Applications of Differentiation - Derivative as the Gradient of a Curve

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