anonymous
  • anonymous
How do I graph a tangent line at a point
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
find the slope of that point by taking the derivative
anonymous
  • anonymous
Can I have a pic of tangent of 6 at point (3,9)
anonymous
  • anonymous
I need it badly...I would really appreciate it

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anonymous
  • anonymous
what is the function of the line
anonymous
  • anonymous
Y=X^2
anonymous
  • anonymous
okay ill walk you through it
anonymous
  • anonymous
Thanks
anonymous
  • anonymous
to find the slope at any point we first take the derivative: d/dx(Y) = d/dx(X^2) = 2X good so far?
anonymous
  • anonymous
I don't get that...
anonymous
  • anonymous
have you learned derivatives yet
anonymous
  • anonymous
A while ago
anonymous
  • anonymous
Can. Have a pic of the function and tangent line
anonymous
  • anonymous
A site that u can graph it on is desmos.com
anonymous
  • anonymous
ok, well its just the power rule the derivative of x^a where a is some power is a*x^(a-1) so here a = 2 so its 2*x^(2-1) = 2x and im going to show you how to do it not draw it for you :)
anonymous
  • anonymous
Ya ok...but I need to know where the y intercept of the tangent line is
anonymous
  • anonymous
thasts fine we will get to that
anonymous
  • anonymous
Ok thanks
anonymous
  • anonymous
Can u figure it out and tell me
anonymous
  • anonymous
so like we said the slope at any point is 2*x. So to find the slope of the tangent linet at (3,9) we plug in the x coordinate 3 into 2*x and obviously get 6. Good?
anonymous
  • anonymous
I will figure the steps out on my own
anonymous
  • anonymous
Is that ok?
anonymous
  • anonymous
so now the slope is 6: use y = mx + b form to find the answer. since the line hits (3,9) you can use x = 3, y = 9 and solve for b. then you should be able to graph a line
anonymous
  • anonymous
Bt y=x^2 is a quadratic
anonymous
  • anonymous
Not linear
anonymous
  • anonymous
yes but the tangent line is linear
anonymous
  • anonymous
Ok...I am bit in a rush so can u tell me the answer and I will figure it out later
anonymous
  • anonymous
This is exactly how to find the line you are supposed to draw, just do it "so now the slope is 6: use y = mx + b form to find the answer. since the line hits (3,9) you can use x = 3, y = 9 and solve for b. then you should be able to graph a line"
anonymous
  • anonymous
Thanks!
anonymous
  • anonymous
your welcome. hope it helped :)

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