(a)[1]
Determine the value of $k$. Give your answer correct to 6 decimal places.
(b)[1]
Determine the gradient of the chord $AD$. Give your answer correct to 4 decimal places.
(c)[1]
State what the table values indicate about the value of $f'(8)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described by the equation $y=f(x)$, where $f(x)=\frac{1}{2}x^{\frac{2}{3}}(x-2)^2$. The points below are on the curve. Any non-exact values are correct to 6 decimal places. $A(8,72)$, $B(8.001,k)$, $C(8.01,72.300388)$, $D(8.1,75.038882)$.