Find an equation of the tangent line to the curve at the given point.

Question

y =x^4+4x^2−x,(1,4)

y=?

Answer 1

well, y' = 4x^3 + 8x - 1
So, at (1,4), the slope of the tangent is 11.

That means the line there is

y-4 = 11(x-1)