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Mathematics 37 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

tangent line is the first derivative

OpenStudy (anonymous):

wait so just find the derivative?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

then what?

OpenStudy (anonymous):

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

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