Posted by **Lynn** on Friday, May 3, 2013 at 12:55pm.

Let f be the function defined by f(x)=(4x-8)/(x^2+5x-14)

write an equation of the lien normal to the graph of f at x=1

how?

- Calc BC -
**Steve**, Friday, May 3, 2013 at 4:25pm
the line tangent to the graph at (x,y) has slope f'(x)

f'(x) = -4/(x+7)^2

f'(1) = -4/8^2 = -1/16

The line normal to f thus has slope +16

f(1) = 1/2

So, now we have a point (1,1/2) and a slope: 16

So, the line is

y - 1/2 = 16(x-1)

## Answer This Question

## Related Questions

- Calc - The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x...
- Calc I - I really need assistance!! I am to write an equation so that I can ...
- math, a.p. calc - Let g be a function that is defined for all x, x ≠ 2, ...
- Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
- Clueless in calculus - The function f is defined by f(x)= (25-x^2)^(1/2) for -5 ...
- Calculus - Given the function defined as f(x)=x^3-(3/2)x^2-6x+10 a) Explain why ...
- Calculus - Given the function defined as f(x)=x^3-(3/2)x^2-6x+10 a) Explain why ...
- AP Calculous - let f be the function defined by f(x)=3X^5 -5X^3 +2 a) on what ...
- calculous - 3.Given the function f defined by f(x)=2x^3-3x^2-12x+20 a.Find the ...
- Calc - Write the equation of the line tangent to the graph of the function at ...

More Related Questions