Saturday

October 25, 2014

October 25, 2014

Posted by **kim** on Friday, March 8, 2013 at 10:27pm.

f(x)=x^2/x+4 ;(1,1/5)

m =??

y =??

- math -
**Damon**, Friday, March 8, 2013 at 10:38pmdy/dx = slope = [ (x+4)(2x) - x^2 ] /(x+4)^2

= ( x^2 + 8 x ] / (x+4)^2

at x = 1 this slope is

= 9/25 so that is m

goes through (1, 1/5)

1/5 = (9/25)(1) + b

5/25 = 9/25 + b

b = -4/25

so

y = 9 x/25 - 4/25

or

25 y = 9 x - 4

**Answer this Question**

**Related Questions**

Math Please Help!! - Find the slope and the equation of the tangent line to the ...

math - Find the slope and the equation of the tangent line to the graph of the ...

Calculus - Find the slope and the equation of the tangent line to the graph of ...

math - Find the slope m and an equation of the tangent line to the graph of the ...

math - Find the slope m and an equation of the tangent line to the graph of the ...

math - Find the slope m and an equation of the tangent line to the graph of the ...

Calculus derivative - find the slope m and an equation of the tangent line to ...

math - Find the slope m of the tangent line to the graph of the function at the ...

Math - Find the slope m of the tangent line to the graph of the function at the ...

cal - find the equation of a quadratic function whose graph is tangent at x=1 to...