Question

find the equation of the tangent to the curve y=x^2-1/3x at x=2

Answer 1

y = x^2 - 1/3 x

y' = 2x - 1/3
y(2) = 10/3
y'(2) = 11/3
so the line is
y - 10/3 = 11/3 (x-2)