anonymous
  • anonymous
I am missing something simple. How do I find the y-intercept of the tangent line to y=(1.2)/(3+7x)^-1/2 at (3,0.245)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
well, i assume you've found the point it is tangent, yes?
anonymous
  • anonymous
then just create a formula for a line by y = mx + b where m is the slope, and (x,y) is the point it is tangent then solve for b and there ya go!
anonymous
  • anonymous
Thanks and should I derive thos equation, plug in (3) for X to find m?

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anonymous
  • anonymous
yes, the derivative of the equation at the point (3,.0245) will tell you the slope
anonymous
  • anonymous
using the given point, the slope you're about to find, you can then solve for b using y = mx + b
anonymous
  • anonymous
I am having an issue solving for x in this equation.
anonymous
  • anonymous
you don't need to solve for x
anonymous
  • anonymous
to find the slope at the tangent point 1. take the derivative 2. plug in known (x,y) values 3. the answer is the slope
anonymous
  • anonymous
Thanks.....I knew I was missing something simple.
anonymous
  • anonymous
and you don't have to plug in the y value, by the way just the x value my bad
anonymous
  • anonymous
you'll be left with something like dy/dx = "number" that number being the slope :)
anonymous
  • anonymous
i've gotta leave, so to re-cap: 1. find derivative 2. plug in x value 3. you'll be left with something like dy/dx = slope 4. using the given (x,y) point, and the slope you just found 5. plug them into y = mx+b and find b
anonymous
  • anonymous
good luck mate
anonymous
  • anonymous
1.derive the equation 2.plug in x 3.the answer is the slope 4.plug the slope, y and x to solve for b 5. let x=0 to find the y-intercept
anonymous
  • anonymous
Thanks

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