Question

Find the equation of the line tangent to the graph of f(x) = e^(x^2 - 4) at x = 2

Answer 1

tangent line is the first derivative

Answer 2

wait so just find the derivative?

Answer 3

yep that will give you the equation then plug in your value

Answer 4

Take the derivative, evaluate at x=2. Use that value as the slope, and (2,f(2)) as a point on the line to get an equation of the line.

Answer 5

so far im using the qoutient rule so (e^4)(2e^(x^2))-e^((x^2)) 4e^3/e^16

Answer 6

then what?

Answer 7

why quotient rule? should be product rule and chain rule you have no division in this problem