Posted by **James** on Tuesday, May 10, 2011 at 11:53pm.

For the function f(x) = x/(3x+1) find the equation of the line which is tangent to the curve f(x) at x=2. Solve analytically (an exact answer is required)

Please show steps.

Thanks.

- Calculus -
**Anonymous**, Wednesday, May 11, 2011 at 3:36am
y–y0=f'(x0)*(x–x0)

f'=1/(3x+1)^2

x0=2

y0=2/(3*2+1)=2/(6+1)=2/7

f'(x0)=1/(3*2+1)^2=1/(6+1)^2=1/7^2=1/49

y–y0=f'(x0)*(x–x0)

y - 2/7 = 1/49*(x-2)

y=(1/49)*x - 2/49 + 2/7

y=(1/49)*x - 2/49 + 14/49

y=(1/49)*x - 12/49

y=(1/49)*(x-12)

- Calculus -
**Anonymous**, Wednesday, May 11, 2011 at 3:43am
If You don't know how find derivation of x/(3x+1) in google type: calc101

When you open page calc101com click option derivatives.In rectangle type:

x/(3x+1)

and click option DO IT

You will see solution step by step

## Answer This Question

## Related Questions

- Calculus AB - Could someone please help me with these tangent line problems? 1) ...
- Calculus Help Please!!! - Find the equation in slope intercept form of the ...
- Calculus - Please help this is due tomorrow and I don't know how to Ive missed a...
- Calculus - Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x...
- Calculus - Damon - Find the line which passes through the point (0, 1/4) and is ...
- Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...
- Calculus AB - Sorry but I've got a lot of problems that I don't understand. 1) ...
- calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...
- Calculus Help Please - Consider the implicit function ln(xy)-cos^-1(x-1)=x a. ...
- Calculus - Can someone show how to solve this problem Find the equation of the ...

More Related Questions