Question

Find the tangent line to the graph of f(x)=x^2+x through (1,2). Do so by computing a limit not by using a differentiation rule

Answer 1

tell me if this looks familiar \[\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\]

Answer 2

yes it does:)

Answer 3

well, go on, solve the limit

Answer 4

anyways, once you do get the derivative equation,

substitute in x=1 in order to determine the slope at (1,2)
once you've determined the slope, you can use point slope formula to get the equation of the tangent line

Answer 5

is it 2x+1

Answer 6

yes

Answer 7

is the answer 3x-1