Question

Is this the equation of a tangent line?\[y = f(x) + f'(x)(x - a) \]

Answer 1

If it is, then what is \(a\)?

Answer 2

Yes, a is the x value that corresponds to the y value, f(x).

Answer 3

Is analogous to \[y=y_1+m(x-x_1)\]

Answer 4

Wait... it's \(f(a) + f'(a)(x - a)\)...

Answer 5

Even better.

Answer 6

Thanks, @CliffSedge :)

Answer 7

I thought what you put at first looked a little fishy..

Answer 8

y.w.
Both are derived from the slope formula (difference quotient).

Answer 9

Thank you!