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)
Stacey Warren - Expert brainly.com
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well, i assume you've found the point it is tangent, yes?
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!
Thanks and should I derive thos equation, plug in (3) for X to find m?
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yes, the derivative of the equation at the point (3,.0245) will tell you the slope
using the given point, the slope you're about to find, you can then solve for b using y = mx + b
I am having an issue solving for x in this equation.
you don't need to solve for x
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
Thanks.....I knew I was missing something simple.
and you don't have to plug in the y value, by the way
just the x value
you'll be left with something like dy/dx = "number"
that number being the slope :)
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
good luck mate
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