Question

Find the equation of the line tangent to f(x) = 3x^2+ 2x + 7 at the point (1, 12).

Answer 1

@Loser66

Answer 2

Take the derivative of the given function. Start with that.

Answer 3

The deriviative of the the given function is your slope, m.
Then, plug it into the equation you know from basic
algebra: \(\sf \color{red}{(y-y_1)=m(x-x_1)}\) \(\Rightarrow\) \(\sf \color{blue}{y=mx+b}\)

Answer 4

ok 6x+2

Answer 5

so plug in the values since we are finding it at 1,12 we do y=(1)6+2

Answer 6

thats 8 so y=8x+4 is it?