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anonymous
 5 years ago
Find an equation for a line that is tangent to f(x)=x^22x3
anonymous
 5 years ago
Find an equation for a line that is tangent to f(x)=x^22x3

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myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0for any point? or do you want a formula for any point?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it doesn't specify, it just says to find an equation.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0ok say we want to find the tangent line at x=a

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so the slope at x=a is f'(a)=2a2

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0a line has the form y=mx+b

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0we know the slope m is 2a2

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so now we have y=(2a2)x+b we now need to find the yintercept

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0we know a point on this line (a,f(a))

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so we now solve this for b to find the y intercept

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so we have y=(2a2)xa^23

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0this is the general equation for the tangent line at (a,f(a))

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you think i can just pick a point off the original quadratic function and use those points, such as the point (3,0)?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0It does say to find *an* so maybe it doesn't matter, but make sure the point is on the curve ( I mean verify that it is) Does f(3)=0?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since a point was not specified in the original problem and yes, f(3)=0.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0ok you can use this point as long as we aren't looking for anything general.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok thanks so much, i don't need to find the x and y intercepts right?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0no. you can just use the general tangent line that I came up with. lol

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0but your teacher will probably want you to show work

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok thanks so much for your help :)
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