Question

Find an equation of the tangent line to the graph of f(x)=x^2+2x at x=1

Answer 1

1+2=3

Answer 2

To find the equation of the line you need its slope and a point on the line.

Do you know how to calculate those two things from your equation for f(x)?

Answer 3

Take the derivative of f(x), then substitute x = 1 into f'(x)

Answer 4

slope at (x=1)=f'(1)

Answer 5

then use tangent line approximation formula to find the equation