Find an equation of the tangent line to a curve at a given point. 1. f(x) = x2 4x + l at (0,1)- 2. f(x) = (2x 7)5 at (3,1). 3- f(x) = (2x + 3)(3x2 s) at (-2,7). 4- f(x)= xi? +2 at (6,1). 5- x2 + y2 = S at (2,1). Find horizontal tangent lines to a curve defined by the function. 1. f(x) = x2 - 4x+1 2. f(x) = 3x2 - x3+ 1 Find the relative extrema for the function. 3. f(x) =x2 - 4x+1 4. f(x) =3x2 - x3+ 1U U Question 1 Find the horizontal tangents for the following function. f(x)=x3 3x2 9x Horizontal tangents: y: 7 pts Question 2 8 pts Find the relative extrema for the following function. f(x)=x3 3x2 9x Relative maximum: Relative minimum