find the slope of the line that is tangent to the graph f(x) = x^2 at point (2, 4).

Answer 1

slope = 2x = 2(2) = 4 at the point (2,4)

the tangent line is y=2x + b

plug in the point to solve for b

4 =2(2) + b

b = 0

the tangent line is y=2x at the point (2,4)