Sunday

September 21, 2014

September 21, 2014

Posted by **beauty** on Tuesday, October 9, 2012 at 8:48pm.

f(x)=x^2/x+4 ; (3,9/7)

- math -
**Reiny**, Tuesday, October 9, 2012 at 9:44pmf ' (x) = ((x+4)(2x) - 2x(1) )/(x+4)^2

= (2x^2 + 6x)/(x+4)^2

when x = 3

slope = 36/49

so y = (36/49)x + b

at (3,9/7)

9/7 = (36/49)(3) + b

b = 9/7 - 108/49

= -45/49

y = (36/49)x - 45/49 or (36x - 45)/49

check my arithmetic

**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...