Posted by **leah** on Friday, October 16, 2009 at 1:13am.

The slope of the tangent line to the parabola y=4x2–6x+6 at the point where x=5 is:

The equation of this tangent line can be written in the form y=mx+b where m is:

and where b is:

- calculus -
**jim**, Friday, October 16, 2009 at 7:16am
The slope of the tangent at that point will be the same as the slope of the parabola, by definition.

How do you get the slope of the parabola at that point? Differentiate it. What is the differential of 4x^2–6x+6? Now plug in x=5 to your answer, and the arithmetic gives you the slope.

y = mx + b. m is your slope you just got. We need a point on the line to get b.

Where x=5, the point where the line touches the parabola, y=76, so we have the point (5,76).

76=170+b

and that gives you b.

## Answer this Question

## Related Questions

- Calc - The slope of the tangent line to the parabola y=4x2–3x+5 at the point ...
- calc - The slope of the tangent line to the parabola y=4x2–3x+5 at the point ...
- Calculus - the slope of the tangent line to the curve y=(3/x) at the point (6,0....
- Calculus 251 - The slope of the tangent line to the curve y= 3x^3 at the point...
- Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...
- Calculus. I need help! - HARDER PARTS WAS 3(x^2+y^2)^2=26(y^2+y^2) Find the ...
- COLLEGE CALCULUS. - Use implicit differentiation to find the equation of the ...
- math calculus - Use implicit differentiation to find the equation of the tangent...
- calculus - -find the equation of the tangent line to the curve y=5xcosx at the ...
- Calculus - Find the equation of the tangent line to the curve y=2sinx at the ...

More Related Questions