A curve has equation y=k/x. Given that the gradient of the curve is -3 when x=2. Find the value of constant k. ?
A curve has equation y=k/x . Given that the gradient of the curve is -3 when x=2 . Find the value of constant k.
A curve has equation
1 Answer
Jan 21, 2018
Explanation:
•color(white)(x)m_(color(red)"tangent")=dy/dx" at x = 2"
y=k/x=kx^-1
rArrdy/dx=-kx^-2=-k/x^2
-k/x^2=-3" when "x=2
rArr-k=-3xx4=-12rArrk=12