Question

How do you find the tangent line to the graph of "f" at the given point in:
f(x)= x^2 + 1

Answer 1

Is this a calculus question?

Answer 2

Yes

Answer 3

find derivative.

Answer 4

it'd be 2x

Answer 5

I don't understand how you got 2x??

Answer 6

replace x wiht your equation. later on you'll find a different way of doing so.

Answer 7

Yes but what about the equation for the tangent line??

Answer 8

To find the slope at x, take the derivative:
f'(x) = 2x

To find the equation of the tangent line, use point-slope form, with (x₁, y₁) = (t, f(t)), and m = 2t:
y - (t² + 1) = 2(x - t)
y - t² - 1 = 2x - 2t
y = 2x + (t² - 2t + 1)

Answer 9

Where t is the given x value.