(i)[4]
When $k = 2$, determine the $x$-coordinates of $A$ and $B$.
(ii)[2]
Find the value of $k$ for which $y = 6x + k$ is tangent to the curve $y = 7\sqrt{x}$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram illustrates the curve $y = 7\sqrt{x}$ together with the line $y = 6x + k$, where $k$ is a constant. The curve and the line cross at the points $A$ and $B$.